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Finding the Fourth Proportional to 278,649.10, 417,841.89 and 107,950.78

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Solution

The fourth proportional to 278,649.10, 417,841.89 and 107,950.78 is: 161,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,649.10 : 417,841.89 = 107,950.78 : x
  2. Step 2: Convert to fraction form
    278,649.10/417,841.89 = 107,950.78/x
  3. Step 3: Cross multiply
    278,649.10x = 417,841.89 × 107,950.78
  4. Step 4: Simplify right side
    278,649.10x = 45,106,357,942.17
  5. Step 5: Solve for x
    x = 45,106,357,942.17/278,649.10
  6. Step 6: Final answer
    x = 161,875.13

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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.