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Finding the Fourth Proportional to 278,861.32, 418,107.06 and 101,347.24

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Solution

The fourth proportional to 278,861.32, 418,107.06 and 101,347.24 is: 151,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,861.32 : 418,107.06 = 101,347.24 : x
  2. Step 2: Convert to fraction form
    278,861.32/418,107.06 = 101,347.24/x
  3. Step 3: Cross multiply
    278,861.32x = 418,107.06 × 101,347.24
  4. Step 4: Simplify right side
    278,861.32x = 42,373,996,555.51
  5. Step 5: Solve for x
    x = 42,373,996,555.51/278,861.32
  6. Step 6: Final answer
    x = 151,953.65

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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.