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Finding the Fourth Proportional to 242,265.78, 363,459.42 and 142,509.42

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Solution

The fourth proportional to 242,265.78, 363,459.42 and 142,509.42 is: 213,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,265.78 : 363,459.42 = 142,509.42 : x
  2. Step 2: Convert to fraction form
    242,265.78/363,459.42 = 142,509.42/x
  3. Step 3: Cross multiply
    242,265.78x = 363,459.42 × 142,509.42
  4. Step 4: Simplify right side
    242,265.78x = 51,796,391,137.74
  5. Step 5: Solve for x
    x = 51,796,391,137.74/242,265.78
  6. Step 6: Final answer
    x = 213,799.87

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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.