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Finding the Fourth Proportional to 280,463.50, 420,695.25 and 83,471.50

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Solution

The fourth proportional to 280,463.50, 420,695.25 and 83,471.50 is: 125,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,463.50 : 420,695.25 = 83,471.50 : x
  2. Step 2: Convert to fraction form
    280,463.50/420,695.25 = 83,471.50/x
  3. Step 3: Cross multiply
    280,463.50x = 420,695.25 × 83,471.50
  4. Step 4: Simplify right side
    280,463.50x = 35,116,063,560.38
  5. Step 5: Solve for x
    x = 35,116,063,560.38/280,463.50
  6. Step 6: Final answer
    x = 125,207.25

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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.