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Finding the Fourth Proportional to 428,438.54, 642,433.17 and 147,889.10

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Solution

The fourth proportional to 428,438.54, 642,433.17 and 147,889.10 is: 221,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,438.54 : 642,433.17 = 147,889.10 : x
  2. Step 2: Convert to fraction form
    428,438.54/642,433.17 = 147,889.10/x
  3. Step 3: Cross multiply
    428,438.54x = 642,433.17 × 147,889.10
  4. Step 4: Simplify right side
    428,438.54x = 95,008,863,321.45
  5. Step 5: Solve for x
    x = 95,008,863,321.45/428,438.54
  6. Step 6: Final answer
    x = 221,756.11

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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.