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Finding the Fourth Proportional to 506,484.78, 698,967.27 and 280,131.90

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Solution

The fourth proportional to 506,484.78, 698,967.27 and 280,131.90 is: 386,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,484.78 : 698,967.27 = 280,131.90 : x
  2. Step 2: Convert to fraction form
    506,484.78/698,967.27 = 280,131.90/x
  3. Step 3: Cross multiply
    506,484.78x = 698,967.27 × 280,131.90
  4. Step 4: Simplify right side
    506,484.78x = 195,803,029,382.91
  5. Step 5: Solve for x
    x = 195,803,029,382.91/506,484.78
  6. Step 6: Final answer
    x = 386,592.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.