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Finding the Fourth Proportional to 278,124.48, 417,203.33 and 78,461.91

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Solution

The fourth proportional to 278,124.48, 417,203.33 and 78,461.91 is: 117,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,124.48 : 417,203.33 = 78,461.91 : x
  2. Step 2: Convert to fraction form
    278,124.48/417,203.33 = 78,461.91/x
  3. Step 3: Cross multiply
    278,124.48x = 417,203.33 × 78,461.91
  4. Step 4: Simplify right side
    278,124.48x = 32,734,569,737.85
  5. Step 5: Solve for x
    x = 32,734,569,737.85/278,124.48
  6. Step 6: Final answer
    x = 117,697.55

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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.