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Finding the Fourth Proportional to 510,798.57, 704,951.77 and 381,512.58

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Solution

The fourth proportional to 510,798.57, 704,951.77 and 381,512.58 is: 526,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,798.57 : 704,951.77 = 381,512.58 : x
  2. Step 2: Convert to fraction form
    510,798.57/704,951.77 = 381,512.58/x
  3. Step 3: Cross multiply
    510,798.57x = 704,951.77 × 381,512.58
  4. Step 4: Simplify right side
    510,798.57x = 268,947,970,168.11
  5. Step 5: Solve for x
    x = 268,947,970,168.11/510,798.57
  6. Step 6: Final answer
    x = 526,524.52

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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.