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Finding the Fourth Proportional to 658,126, 986,988.48 and 342,410.68

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Solution

The fourth proportional to 658,126, 986,988.48 and 342,410.68 is: 513,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,126 : 986,988.48 = 342,410.68 : x
  2. Step 2: Convert to fraction form
    658,126/986,988.48 = 342,410.68/x
  3. Step 3: Cross multiply
    658,126x = 986,988.48 × 342,410.68
  4. Step 4: Simplify right side
    658,126x = 337,955,396,588.97
  5. Step 5: Solve for x
    x = 337,955,396,588.97/658,126
  6. Step 6: Final answer
    x = 513,511.69

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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.