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Finding the Fourth Proportional to 689,423.70, 951,016.08 and 413,710.20

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Solution

The fourth proportional to 689,423.70, 951,016.08 and 413,710.20 is: 570,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,423.70 : 951,016.08 = 413,710.20 : x
  2. Step 2: Convert to fraction form
    689,423.70/951,016.08 = 413,710.20/x
  3. Step 3: Cross multiply
    689,423.70x = 951,016.08 × 413,710.20
  4. Step 4: Simplify right side
    689,423.70x = 393,445,052,660.02
  5. Step 5: Solve for x
    x = 393,445,052,660.02/689,423.70
  6. Step 6: Final answer
    x = 570,686.87

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.