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Finding the Fourth Proportional to 309,981.32, 465,020.60 and 132,489.24

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Solution

The fourth proportional to 309,981.32, 465,020.60 and 132,489.24 is: 198,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,981.32 : 465,020.60 = 132,489.24 : x
  2. Step 2: Convert to fraction form
    309,981.32/465,020.60 = 132,489.24/x
  3. Step 3: Cross multiply
    309,981.32x = 465,020.60 × 132,489.24
  4. Step 4: Simplify right side
    309,981.32x = 61,610,225,878.34
  5. Step 5: Solve for x
    x = 61,610,225,878.34/309,981.32
  6. Step 6: Final answer
    x = 198,754.64

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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.