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Finding the Fourth Proportional to 393,218.98, 588,559.80 and 203,417.98

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Solution

The fourth proportional to 393,218.98, 588,559.80 and 203,417.98 is: 304,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,218.98 : 588,559.80 = 203,417.98 : x
  2. Step 2: Convert to fraction form
    393,218.98/588,559.80 = 203,417.98/x
  3. Step 3: Cross multiply
    393,218.98x = 588,559.80 × 203,417.98
  4. Step 4: Simplify right side
    393,218.98x = 119,723,644,916.62
  5. Step 5: Solve for x
    x = 119,723,644,916.62/393,218.98
  6. Step 6: Final answer
    x = 304,470.67

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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.