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Finding the Fourth Proportional to 547,005.70, 820,508.55 and 488,023.30

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Solution

The fourth proportional to 547,005.70, 820,508.55 and 488,023.30 is: 732,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,005.70 : 820,508.55 = 488,023.30 : x
  2. Step 2: Convert to fraction form
    547,005.70/820,508.55 = 488,023.30/x
  3. Step 3: Cross multiply
    547,005.70x = 820,508.55 × 488,023.30
  4. Step 4: Simplify right side
    547,005.70x = 400,427,290,249.22
  5. Step 5: Solve for x
    x = 400,427,290,249.22/547,005.70
  6. Step 6: Final answer
    x = 732,034.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.