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Finding the Fourth Proportional to 458,096.72, 686,812.84 and 307,964.57

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Solution

The fourth proportional to 458,096.72, 686,812.84 and 307,964.57 is: 461,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,096.72 : 686,812.84 = 307,964.57 : x
  2. Step 2: Convert to fraction form
    458,096.72/686,812.84 = 307,964.57/x
  3. Step 3: Cross multiply
    458,096.72x = 686,812.84 × 307,964.57
  4. Step 4: Simplify right side
    458,096.72x = 211,514,016,737.10
  5. Step 5: Solve for x
    x = 211,514,016,737.10/458,096.72
  6. Step 6: Final answer
    x = 461,723.50

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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.