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Finding the Fourth Proportional to 280,488.66, 420,970.80 and 112,127.88

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Solution

The fourth proportional to 280,488.66, 420,970.80 and 112,127.88 is: 168,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,488.66 : 420,970.80 = 112,127.88 : x
  2. Step 2: Convert to fraction form
    280,488.66/420,970.80 = 112,127.88/x
  3. Step 3: Cross multiply
    280,488.66x = 420,970.80 × 112,127.88
  4. Step 4: Simplify right side
    280,488.66x = 47,202,563,345.90
  5. Step 5: Solve for x
    x = 47,202,563,345.90/280,488.66
  6. Step 6: Final answer
    x = 168,286.89

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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.