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Finding the Fourth Proportional to 278,046.48, 417,070.52 and 67,684.08

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Solution

The fourth proportional to 278,046.48, 417,070.52 and 67,684.08 is: 101,526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,046.48 : 417,070.52 = 67,684.08 : x
  2. Step 2: Convert to fraction form
    278,046.48/417,070.52 = 67,684.08/x
  3. Step 3: Cross multiply
    278,046.48x = 417,070.52 × 67,684.08
  4. Step 4: Simplify right side
    278,046.48x = 28,229,034,441.32
  5. Step 5: Solve for x
    x = 28,229,034,441.32/278,046.48
  6. Step 6: Final answer
    x = 101,526.31

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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.