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Finding the Fourth Proportional to 458,535.20, 686,490.60 and 406,047.20

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Solution

The fourth proportional to 458,535.20, 686,490.60 and 406,047.20 is: 607,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,535.20 : 686,490.60 = 406,047.20 : x
  2. Step 2: Convert to fraction form
    458,535.20/686,490.60 = 406,047.20/x
  3. Step 3: Cross multiply
    458,535.20x = 686,490.60 × 406,047.20
  4. Step 4: Simplify right side
    458,535.20x = 278,747,585,956.32
  5. Step 5: Solve for x
    x = 278,747,585,956.32/458,535.20
  6. Step 6: Final answer
    x = 607,908.81

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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.