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Finding the Fourth Proportional to 309,957.90, 464,549.40 and 132,257.40

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Solution

The fourth proportional to 309,957.90, 464,549.40 and 132,257.40 is: 198,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,957.90 : 464,549.40 = 132,257.40 : x
  2. Step 2: Convert to fraction form
    309,957.90/464,549.40 = 132,257.40/x
  3. Step 3: Cross multiply
    309,957.90x = 464,549.40 × 132,257.40
  4. Step 4: Simplify right side
    309,957.90x = 61,440,095,815.56
  5. Step 5: Solve for x
    x = 61,440,095,815.56/309,957.90
  6. Step 6: Final answer
    x = 198,220.78

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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.