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Finding the Fourth Proportional to 506,057.78, 698,404.20 and 279,747.02

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Solution

The fourth proportional to 506,057.78, 698,404.20 and 279,747.02 is: 386,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,057.78 : 698,404.20 = 279,747.02 : x
  2. Step 2: Convert to fraction form
    506,057.78/698,404.20 = 279,747.02/x
  3. Step 3: Cross multiply
    506,057.78x = 698,404.20 × 279,747.02
  4. Step 4: Simplify right side
    506,057.78x = 195,376,493,705.48
  5. Step 5: Solve for x
    x = 195,376,493,705.48/506,057.78
  6. Step 6: Final answer
    x = 386,075.47

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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.