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Finding the Fourth Proportional to 461,171.46, 687,172.48 and 410,865

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Solution

The fourth proportional to 461,171.46, 687,172.48 and 410,865 is: 612,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,171.46 : 687,172.48 = 410,865 : x
  2. Step 2: Convert to fraction form
    461,171.46/687,172.48 = 410,865/x
  3. Step 3: Cross multiply
    461,171.46x = 687,172.48 × 410,865
  4. Step 4: Simplify right side
    461,171.46x = 282,335,120,995.20
  5. Step 5: Solve for x
    x = 282,335,120,995.20/461,171.46
  6. Step 6: Final answer
    x = 612,212.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.