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Finding the Fourth Proportional to 561,456.11, 842,751.86 and 497,821.70

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Solution

The fourth proportional to 561,456.11, 842,751.86 and 497,821.70 is: 747,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,456.11 : 842,751.86 = 497,821.70 : x
  2. Step 2: Convert to fraction form
    561,456.11/842,751.86 = 497,821.70/x
  3. Step 3: Cross multiply
    561,456.11x = 842,751.86 × 497,821.70
  4. Step 4: Simplify right side
    561,456.11x = 419,540,156,920.49
  5. Step 5: Solve for x
    x = 419,540,156,920.49/561,456.11
  6. Step 6: Final answer
    x = 747,235.90

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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.