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Finding the Fourth Proportional to 307,358.46, 461,037.70 and 82,719.40

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Solution

The fourth proportional to 307,358.46, 461,037.70 and 82,719.40 is: 124,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,358.46 : 461,037.70 = 82,719.40 : x
  2. Step 2: Convert to fraction form
    307,358.46/461,037.70 = 82,719.40/x
  3. Step 3: Cross multiply
    307,358.46x = 461,037.70 × 82,719.40
  4. Step 4: Simplify right side
    307,358.46x = 38,136,761,921.38
  5. Step 5: Solve for x
    x = 38,136,761,921.38/307,358.46
  6. Step 6: Final answer
    x = 124,079.10

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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.