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Finding the Fourth Proportional to 279,023.32, 418,646.76 and 101,542.60

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Solution

The fourth proportional to 279,023.32, 418,646.76 and 101,542.60 is: 152,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,023.32 : 418,646.76 = 101,542.60 : x
  2. Step 2: Convert to fraction form
    279,023.32/418,646.76 = 101,542.60/x
  3. Step 3: Cross multiply
    279,023.32x = 418,646.76 × 101,542.60
  4. Step 4: Simplify right side
    279,023.32x = 42,510,480,491.98
  5. Step 5: Solve for x
    x = 42,510,480,491.98/279,023.32
  6. Step 6: Final answer
    x = 152,354.58

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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.