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Finding the Fourth Proportional to 561,542.40, 842,357.76 and 187,566.72

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Solution

The fourth proportional to 561,542.40, 842,357.76 and 187,566.72 is: 281,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,542.40 : 842,357.76 = 187,566.72 : x
  2. Step 2: Convert to fraction form
    561,542.40/842,357.76 = 187,566.72/x
  3. Step 3: Cross multiply
    561,542.40x = 842,357.76 × 187,566.72
  4. Step 4: Simplify right side
    561,542.40x = 157,998,282,109.75
  5. Step 5: Solve for x
    x = 157,998,282,109.75/561,542.40
  6. Step 6: Final answer
    x = 281,364.83

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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.