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Finding the Fourth Proportional to 397,360.80, 595,652.40 and 160,387.20

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Solution

The fourth proportional to 397,360.80, 595,652.40 and 160,387.20 is: 240,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,360.80 : 595,652.40 = 160,387.20 : x
  2. Step 2: Convert to fraction form
    397,360.80/595,652.40 = 160,387.20/x
  3. Step 3: Cross multiply
    397,360.80x = 595,652.40 × 160,387.20
  4. Step 4: Simplify right side
    397,360.80x = 95,535,020,609.28
  5. Step 5: Solve for x
    x = 95,535,020,609.28/397,360.80
  6. Step 6: Final answer
    x = 240,423.87

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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.