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Finding the Fourth Proportional to 279,178.40, 418,767.60 and 112,966.40

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Solution

The fourth proportional to 279,178.40, 418,767.60 and 112,966.40 is: 169,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,178.40 : 418,767.60 = 112,966.40 : x
  2. Step 2: Convert to fraction form
    279,178.40/418,767.60 = 112,966.40/x
  3. Step 3: Cross multiply
    279,178.40x = 418,767.60 × 112,966.40
  4. Step 4: Simplify right side
    279,178.40x = 47,306,668,208.64
  5. Step 5: Solve for x
    x = 47,306,668,208.64/279,178.40
  6. Step 6: Final answer
    x = 169,449.60

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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.