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Finding the Fourth Proportional to 498,765, 688,295.70 and 272,411.04

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Solution

The fourth proportional to 498,765, 688,295.70 and 272,411.04 is: 375,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,765 : 688,295.70 = 272,411.04 : x
  2. Step 2: Convert to fraction form
    498,765/688,295.70 = 272,411.04/x
  3. Step 3: Cross multiply
    498,765x = 688,295.70 × 272,411.04
  4. Step 4: Simplify right side
    498,765x = 187,499,347,464.53
  5. Step 5: Solve for x
    x = 187,499,347,464.53/498,765
  6. Step 6: Final answer
    x = 375,927.24

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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.