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Finding the Fourth Proportional to 242,905.40, 363,920.70 and 149,301.80

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Solution

The fourth proportional to 242,905.40, 363,920.70 and 149,301.80 is: 223,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,905.40 : 363,920.70 = 149,301.80 : x
  2. Step 2: Convert to fraction form
    242,905.40/363,920.70 = 149,301.80/x
  3. Step 3: Cross multiply
    242,905.40x = 363,920.70 × 149,301.80
  4. Step 4: Simplify right side
    242,905.40x = 54,334,015,567.26
  5. Step 5: Solve for x
    x = 54,334,015,567.26/242,905.40
  6. Step 6: Final answer
    x = 223,683.85

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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.