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Finding the Fourth Proportional to 359,154, 538,733.70 and 159,420.69

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Solution

The fourth proportional to 359,154, 538,733.70 and 159,420.69 is: 239,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,154 : 538,733.70 = 159,420.69 : x
  2. Step 2: Convert to fraction form
    359,154/538,733.70 = 159,420.69/x
  3. Step 3: Cross multiply
    359,154x = 538,733.70 × 159,420.69
  4. Step 4: Simplify right side
    359,154x = 85,885,298,180.25
  5. Step 5: Solve for x
    x = 85,885,298,180.25/359,154
  6. Step 6: Final answer
    x = 239,132.23

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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.