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Finding the Fourth Proportional to 309,657.38, 464,564.09 and 88,041.38

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Solution

The fourth proportional to 309,657.38, 464,564.09 and 88,041.38 is: 132,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,657.38 : 464,564.09 = 88,041.38 : x
  2. Step 2: Convert to fraction form
    309,657.38/464,564.09 = 88,041.38/x
  3. Step 3: Cross multiply
    309,657.38x = 464,564.09 × 88,041.38
  4. Step 4: Simplify right side
    309,657.38x = 40,900,861,479.33
  5. Step 5: Solve for x
    x = 40,900,861,479.33/309,657.38
  6. Step 6: Final answer
    x = 132,084.25

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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.