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Finding the Fourth Proportional to 280,373.78, 420,456.79 and 100,431.17

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Solution

The fourth proportional to 280,373.78, 420,456.79 and 100,431.17 is: 150,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,373.78 : 420,456.79 = 100,431.17 : x
  2. Step 2: Convert to fraction form
    280,373.78/420,456.79 = 100,431.17/x
  3. Step 3: Cross multiply
    280,373.78x = 420,456.79 × 100,431.17
  4. Step 4: Simplify right side
    280,373.78x = 42,226,966,954.11
  5. Step 5: Solve for x
    x = 42,226,966,954.11/280,373.78
  6. Step 6: Final answer
    x = 150,609.54

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1.5x scale

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.