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Finding the Fourth Proportional to 402,701.10, 605,363.85 and 285,186.30

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Solution

The fourth proportional to 402,701.10, 605,363.85 and 285,186.30 is: 428,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,701.10 : 605,363.85 = 285,186.30 : x
  2. Step 2: Convert to fraction form
    402,701.10/605,363.85 = 285,186.30/x
  3. Step 3: Cross multiply
    402,701.10x = 605,363.85 × 285,186.30
  4. Step 4: Simplify right side
    402,701.10x = 172,641,476,535.26
  5. Step 5: Solve for x
    x = 172,641,476,535.26/402,701.10
  6. Step 6: Final answer
    x = 428,708.73

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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.