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Finding the Fourth Proportional to 359,813.80, 538,856.70 and 193,234.60

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Solution

The fourth proportional to 359,813.80, 538,856.70 and 193,234.60 is: 289,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,813.80 : 538,856.70 = 193,234.60 : x
  2. Step 2: Convert to fraction form
    359,813.80/538,856.70 = 193,234.60/x
  3. Step 3: Cross multiply
    359,813.80x = 538,856.70 × 193,234.60
  4. Step 4: Simplify right side
    359,813.80x = 104,125,758,881.82
  5. Step 5: Solve for x
    x = 104,125,758,881.82/359,813.80
  6. Step 6: Final answer
    x = 289,387.90

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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.