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Finding the Fourth Proportional to 498,654, 688,192.32 and 297,450

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Solution

The fourth proportional to 498,654, 688,192.32 and 297,450 is: 410,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,654 : 688,192.32 = 297,450 : x
  2. Step 2: Convert to fraction form
    498,654/688,192.32 = 297,450/x
  3. Step 3: Cross multiply
    498,654x = 688,192.32 × 297,450
  4. Step 4: Simplify right side
    498,654x = 204,702,805,584
  5. Step 5: Solve for x
    x = 204,702,805,584/498,654
  6. Step 6: Final answer
    x = 410,510.71

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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.