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Finding the Fourth Proportional to 498,667, 688,210.28 and 297,463

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Solution

The fourth proportional to 498,667, 688,210.28 and 297,463 is: 410,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,667 : 688,210.28 = 297,463 : x
  2. Step 2: Convert to fraction form
    498,667/688,210.28 = 297,463/x
  3. Step 3: Cross multiply
    498,667x = 688,210.28 × 297,463
  4. Step 4: Simplify right side
    498,667x = 204,717,094,519.64
  5. Step 5: Solve for x
    x = 204,717,094,519.64/498,667
  6. Step 6: Final answer
    x = 410,528.66

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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.