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Finding the Fourth Proportional to 278,323.48, 417,706.62 and 100,881.10

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Solution

The fourth proportional to 278,323.48, 417,706.62 and 100,881.10 is: 151,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,323.48 : 417,706.62 = 100,881.10 : x
  2. Step 2: Convert to fraction form
    278,323.48/417,706.62 = 100,881.10/x
  3. Step 3: Cross multiply
    278,323.48x = 417,706.62 × 100,881.10
  4. Step 4: Simplify right side
    278,323.48x = 42,138,703,302.88
  5. Step 5: Solve for x
    x = 42,138,703,302.88/278,323.48
  6. Step 6: Final answer
    x = 151,401.90

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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.