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Finding the Fourth Proportional to 278,576.45, 417,926.64 and 101,079.53

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Solution

The fourth proportional to 278,576.45, 417,926.64 and 101,079.53 is: 151,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,576.45 : 417,926.64 = 101,079.53 : x
  2. Step 2: Convert to fraction form
    278,576.45/417,926.64 = 101,079.53/x
  3. Step 3: Cross multiply
    278,576.45x = 417,926.64 × 101,079.53
  4. Step 4: Simplify right side
    278,576.45x = 42,243,828,345.68
  5. Step 5: Solve for x
    x = 42,243,828,345.68/278,576.45
  6. Step 6: Final answer
    x = 151,641.78

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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.