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Finding the Fourth Proportional to 278,575.45, 417,925.14 and 101,078.53

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Solution

The fourth proportional to 278,575.45, 417,925.14 and 101,078.53 is: 151,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,575.45 : 417,925.14 = 101,078.53 : x
  2. Step 2: Convert to fraction form
    278,575.45/417,925.14 = 101,078.53/x
  3. Step 3: Cross multiply
    278,575.45x = 417,925.14 × 101,078.53
  4. Step 4: Simplify right side
    278,575.45x = 42,243,257,377.39
  5. Step 5: Solve for x
    x = 42,243,257,377.39/278,575.45
  6. Step 6: Final answer
    x = 151,640.27

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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.