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Finding the Fourth Proportional to 359,497.60, 538,814.40 and 149,027.20

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Solution

The fourth proportional to 359,497.60, 538,814.40 and 149,027.20 is: 223,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,497.60 : 538,814.40 = 149,027.20 : x
  2. Step 2: Convert to fraction form
    359,497.60/538,814.40 = 149,027.20/x
  3. Step 3: Cross multiply
    359,497.60x = 538,814.40 × 149,027.20
  4. Step 4: Simplify right side
    359,497.60x = 80,298,001,351.68
  5. Step 5: Solve for x
    x = 80,298,001,351.68/359,497.60
  6. Step 6: Final answer
    x = 223,361.72

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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.