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Finding the Fourth Proportional to 309,887.13, 465,027.32 and 132,395.47

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Solution

The fourth proportional to 309,887.13, 465,027.32 and 132,395.47 is: 198,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,887.13 : 465,027.32 = 132,395.47 : x
  2. Step 2: Convert to fraction form
    309,887.13/465,027.32 = 132,395.47/x
  3. Step 3: Cross multiply
    309,887.13x = 465,027.32 × 132,395.47
  4. Step 4: Simplify right side
    309,887.13x = 61,567,510,594.24
  5. Step 5: Solve for x
    x = 61,567,510,594.24/309,887.13
  6. Step 6: Final answer
    x = 198,677.21

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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.