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Finding the Fourth Proportional to 521,988, 720,344.16 and 283,524

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Solution

The fourth proportional to 521,988, 720,344.16 and 283,524 is: 391,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,988 : 720,344.16 = 283,524 : x
  2. Step 2: Convert to fraction form
    521,988/720,344.16 = 283,524/x
  3. Step 3: Cross multiply
    521,988x = 720,344.16 × 283,524
  4. Step 4: Simplify right side
    521,988x = 204,234,857,619.84
  5. Step 5: Solve for x
    x = 204,234,857,619.84/521,988
  6. Step 6: Final answer
    x = 391,263.51

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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.