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Finding the Fourth Proportional to 397,384.80, 595,688.40 and 160,411.20

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Solution

The fourth proportional to 397,384.80, 595,688.40 and 160,411.20 is: 240,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,384.80 : 595,688.40 = 160,411.20 : x
  2. Step 2: Convert to fraction form
    397,384.80/595,688.40 = 160,411.20/x
  3. Step 3: Cross multiply
    397,384.80x = 595,688.40 × 160,411.20
  4. Step 4: Simplify right side
    397,384.80x = 95,555,091,070.08
  5. Step 5: Solve for x
    x = 95,555,091,070.08/397,384.80
  6. Step 6: Final answer
    x = 240,459.85

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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.