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Finding the Fourth Proportional to 278,910.42, 417,905.88 and 160,681.20

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Solution

The fourth proportional to 278,910.42, 417,905.88 and 160,681.20 is: 240,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,910.42 : 417,905.88 = 160,681.20 : x
  2. Step 2: Convert to fraction form
    278,910.42/417,905.88 = 160,681.20/x
  3. Step 3: Cross multiply
    278,910.42x = 417,905.88 × 160,681.20
  4. Step 4: Simplify right side
    278,910.42x = 67,149,618,285.46
  5. Step 5: Solve for x
    x = 67,149,618,285.46/278,910.42
  6. Step 6: Final answer
    x = 240,756.94

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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.