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Finding the Fourth Proportional to 361,876.70, 542,815.05 and 268,564.70

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Solution

The fourth proportional to 361,876.70, 542,815.05 and 268,564.70 is: 402,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,876.70 : 542,815.05 = 268,564.70 : x
  2. Step 2: Convert to fraction form
    361,876.70/542,815.05 = 268,564.70/x
  3. Step 3: Cross multiply
    361,876.70x = 542,815.05 × 268,564.70
  4. Step 4: Simplify right side
    361,876.70x = 145,780,961,058.74
  5. Step 5: Solve for x
    x = 145,780,961,058.74/361,876.70
  6. Step 6: Final answer
    x = 402,847.05

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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.