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Finding the Fourth Proportional to 510,917.28, 705,087.48 and 284,562.76

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Solution

The fourth proportional to 510,917.28, 705,087.48 and 284,562.76 is: 392,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,917.28 : 705,087.48 = 284,562.76 : x
  2. Step 2: Convert to fraction form
    510,917.28/705,087.48 = 284,562.76/x
  3. Step 3: Cross multiply
    510,917.28x = 705,087.48 × 284,562.76
  4. Step 4: Simplify right side
    510,917.28x = 200,641,639,350.25
  5. Step 5: Solve for x
    x = 200,641,639,350.25/510,917.28
  6. Step 6: Final answer
    x = 392,708.66

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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.