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Finding the Fourth Proportional to 280,383.78, 420,262.16 and 147,278.10

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Solution

The fourth proportional to 280,383.78, 420,262.16 and 147,278.10 is: 220,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,383.78 : 420,262.16 = 147,278.10 : x
  2. Step 2: Convert to fraction form
    280,383.78/420,262.16 = 147,278.10/x
  3. Step 3: Cross multiply
    280,383.78x = 420,262.16 × 147,278.10
  4. Step 4: Simplify right side
    280,383.78x = 61,895,412,426.70
  5. Step 5: Solve for x
    x = 61,895,412,426.70/280,383.78
  6. Step 6: Final answer
    x = 220,752.47

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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.