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Finding the Fourth Proportional to 482,642.40, 723,842.15 and 198,412.22

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Solution

The fourth proportional to 482,642.40, 723,842.15 and 198,412.22 is: 297,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,642.40 : 723,842.15 = 198,412.22 : x
  2. Step 2: Convert to fraction form
    482,642.40/723,842.15 = 198,412.22/x
  3. Step 3: Cross multiply
    482,642.40x = 723,842.15 × 198,412.22
  4. Step 4: Simplify right side
    482,642.40x = 143,619,123,299.80
  5. Step 5: Solve for x
    x = 143,619,123,299.80/482,642.40
  6. Step 6: Final answer
    x = 297,568.39

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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.