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Finding the Fourth Proportional to 498,883.98, 688,460.52 and 284,024.04

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Solution

The fourth proportional to 498,883.98, 688,460.52 and 284,024.04 is: 391,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,883.98 : 688,460.52 = 284,024.04 : x
  2. Step 2: Convert to fraction form
    498,883.98/688,460.52 = 284,024.04/x
  3. Step 3: Cross multiply
    498,883.98x = 688,460.52 × 284,024.04
  4. Step 4: Simplify right side
    498,883.98x = 195,539,338,270.90
  5. Step 5: Solve for x
    x = 195,539,338,270.90/498,883.98
  6. Step 6: Final answer
    x = 391,953.53

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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.