Home / 428,211,298,847.16-642,581,145,516.10-198,435,805,148.11

Finding the Fourth Proportional to 428,211,298,847.16, 642,581,145,516.10 and 198,435,805,148.11

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Solution

The fourth proportional to 428,211,298,847.16, 642,581,145,516.10 and 198,435,805,148.11 is: 297,776,138,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,211,298,847.16 : 642,581,145,516.10 = 198,435,805,148.11 : x
  2. Step 2: Convert to fraction form
    428,211,298,847.16/642,581,145,516.10 = 198,435,805,148.11/x
  3. Step 3: Cross multiply
    428,211,298,847.16x = 642,581,145,516.10 × 198,435,805,148.11
  4. Step 4: Simplify right side
    428,211,298,847.16x = 127,511,106,983,482,127,024,128
  5. Step 5: Solve for x
    x = 127,511,106,983,482,127,024,128/428,211,298,847.16
  6. Step 6: Final answer
    x = 297,776,138,384.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.