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Finding the Fourth Proportional to 359,185, 538,780.20 and 159,451.69

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Solution

The fourth proportional to 359,185, 538,780.20 and 159,451.69 is: 239,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,185 : 538,780.20 = 159,451.69 : x
  2. Step 2: Convert to fraction form
    359,185/538,780.20 = 159,451.69/x
  3. Step 3: Cross multiply
    359,185x = 538,780.20 × 159,451.69
  4. Step 4: Simplify right side
    359,185x = 85,909,413,428.54
  5. Step 5: Solve for x
    x = 85,909,413,428.54/359,185
  6. Step 6: Final answer
    x = 239,178.73

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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.