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Finding the Fourth Proportional to 278,323.10, 417,484.65 and 100,835.90

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Solution

The fourth proportional to 278,323.10, 417,484.65 and 100,835.90 is: 151,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,323.10 : 417,484.65 = 100,835.90 : x
  2. Step 2: Convert to fraction form
    278,323.10/417,484.65 = 100,835.90/x
  3. Step 3: Cross multiply
    278,323.10x = 417,484.65 × 100,835.90
  4. Step 4: Simplify right side
    278,323.10x = 42,097,440,418.94
  5. Step 5: Solve for x
    x = 42,097,440,418.94/278,323.10
  6. Step 6: Final answer
    x = 151,253.85

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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.