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Finding the Fourth Proportional to 309,982.68, 465,052.32 and 88,366.68

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Solution

The fourth proportional to 309,982.68, 465,052.32 and 88,366.68 is: 132,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,982.68 : 465,052.32 = 88,366.68 : x
  2. Step 2: Convert to fraction form
    309,982.68/465,052.32 = 88,366.68/x
  3. Step 3: Cross multiply
    309,982.68x = 465,052.32 × 88,366.68
  4. Step 4: Simplify right side
    309,982.68x = 41,095,129,544.70
  5. Step 5: Solve for x
    x = 41,095,129,544.70/309,982.68
  6. Step 6: Final answer
    x = 132,572.34

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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.