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Finding the Fourth Proportional to 243,003.40, 363,338.70 and 180,017.80

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Solution

The fourth proportional to 243,003.40, 363,338.70 and 180,017.80 is: 269,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,003.40 : 363,338.70 = 180,017.80 : x
  2. Step 2: Convert to fraction form
    243,003.40/363,338.70 = 180,017.80/x
  3. Step 3: Cross multiply
    243,003.40x = 363,338.70 × 180,017.80
  4. Step 4: Simplify right side
    243,003.40x = 65,407,433,428.86
  5. Step 5: Solve for x
    x = 65,407,433,428.86/243,003.40
  6. Step 6: Final answer
    x = 269,162.63

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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.