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Finding the Fourth Proportional to 498,988.65, 688,909.49 and 324,724.90

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Solution

The fourth proportional to 498,988.65, 688,909.49 and 324,724.90 is: 448,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,988.65 : 688,909.49 = 324,724.90 : x
  2. Step 2: Convert to fraction form
    498,988.65/688,909.49 = 324,724.90/x
  3. Step 3: Cross multiply
    498,988.65x = 688,909.49 × 324,724.90
  4. Step 4: Simplify right side
    498,988.65x = 223,706,064,338.84
  5. Step 5: Solve for x
    x = 223,706,064,338.84/498,988.65
  6. Step 6: Final answer
    x = 448,318.94

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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.