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Finding the Fourth Proportional to 278,446.68, 417,669.54 and 100,953.40

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Solution

The fourth proportional to 278,446.68, 417,669.54 and 100,953.40 is: 151,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,446.68 : 417,669.54 = 100,953.40 : x
  2. Step 2: Convert to fraction form
    278,446.68/417,669.54 = 100,953.40/x
  3. Step 3: Cross multiply
    278,446.68x = 417,669.54 × 100,953.40
  4. Step 4: Simplify right side
    278,446.68x = 42,165,160,139.44
  5. Step 5: Solve for x
    x = 42,165,160,139.44/278,446.68
  6. Step 6: Final answer
    x = 151,429.93

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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.