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Finding the Fourth Proportional to 278,582.17, 418,039.26 and 101,103.01

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Solution

The fourth proportional to 278,582.17, 418,039.26 and 101,103.01 is: 151,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,582.17 : 418,039.26 = 101,103.01 : x
  2. Step 2: Convert to fraction form
    278,582.17/418,039.26 = 101,103.01/x
  3. Step 3: Cross multiply
    278,582.17x = 418,039.26 × 101,103.01
  4. Step 4: Simplify right side
    278,582.17x = 42,265,027,484.17
  5. Step 5: Solve for x
    x = 42,265,027,484.17/278,582.17
  6. Step 6: Final answer
    x = 151,714.76

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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.