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Finding the Fourth Proportional to 242,403.47, 363,605.22 and 76,191.47

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Solution

The fourth proportional to 242,403.47, 363,605.22 and 76,191.47 is: 114,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,403.47 : 363,605.22 = 76,191.47 : x
  2. Step 2: Convert to fraction form
    242,403.47/363,605.22 = 76,191.47/x
  3. Step 3: Cross multiply
    242,403.47x = 363,605.22 × 76,191.47
  4. Step 4: Simplify right side
    242,403.47x = 27,703,615,756.97
  5. Step 5: Solve for x
    x = 27,703,615,756.97/242,403.47
  6. Step 6: Final answer
    x = 114,287.21

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1.5x scale

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.