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Finding the Fourth Proportional to 513,330.59, 708,400.92 and 283,876.02

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Solution

The fourth proportional to 513,330.59, 708,400.92 and 283,876.02 is: 391,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,330.59 : 708,400.92 = 283,876.02 : x
  2. Step 2: Convert to fraction form
    513,330.59/708,400.92 = 283,876.02/x
  3. Step 3: Cross multiply
    513,330.59x = 708,400.92 × 283,876.02
  4. Step 4: Simplify right side
    513,330.59x = 201,098,033,733.94
  5. Step 5: Solve for x
    x = 201,098,033,733.94/513,330.59
  6. Step 6: Final answer
    x = 391,751.51

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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.