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Finding the Fourth Proportional to 242,486.40, 363,729.60 and 109,516.80

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Solution

The fourth proportional to 242,486.40, 363,729.60 and 109,516.80 is: 164,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,486.40 : 363,729.60 = 109,516.80 : x
  2. Step 2: Convert to fraction form
    242,486.40/363,729.60 = 109,516.80/x
  3. Step 3: Cross multiply
    242,486.40x = 363,729.60 × 109,516.80
  4. Step 4: Simplify right side
    242,486.40x = 39,834,501,857.28
  5. Step 5: Solve for x
    x = 39,834,501,857.28/242,486.40
  6. Step 6: Final answer
    x = 164,275.20

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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.