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Finding the Fourth Proportional to 230,354.46, 317,948.55 and 149,982.78

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Solution

The fourth proportional to 230,354.46, 317,948.55 and 149,982.78 is: 207,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,354.46 : 317,948.55 = 149,982.78 : x
  2. Step 2: Convert to fraction form
    230,354.46/317,948.55 = 149,982.78/x
  3. Step 3: Cross multiply
    230,354.46x = 317,948.55 × 149,982.78
  4. Step 4: Simplify right side
    230,354.46x = 47,686,807,425.97
  5. Step 5: Solve for x
    x = 47,686,807,425.97/230,354.46
  6. Step 6: Final answer
    x = 207,014.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.