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Finding the Fourth Proportional to 323,515.20, 485,186.40 and 98,875.20

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Solution

The fourth proportional to 323,515.20, 485,186.40 and 98,875.20 is: 148,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,515.20 : 485,186.40 = 98,875.20 : x
  2. Step 2: Convert to fraction form
    323,515.20/485,186.40 = 98,875.20/x
  3. Step 3: Cross multiply
    323,515.20x = 485,186.40 × 98,875.20
  4. Step 4: Simplify right side
    323,515.20x = 47,972,902,337.28
  5. Step 5: Solve for x
    x = 47,972,902,337.28/323,515.20
  6. Step 6: Final answer
    x = 148,286.39

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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.