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Finding the Fourth Proportional to 266,012.62, 399,019.38 and 213,041.50

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Solution

The fourth proportional to 266,012.62, 399,019.38 and 213,041.50 is: 319,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,012.62 : 399,019.38 = 213,041.50 : x
  2. Step 2: Convert to fraction form
    266,012.62/399,019.38 = 213,041.50/x
  3. Step 3: Cross multiply
    266,012.62x = 399,019.38 × 213,041.50
  4. Step 4: Simplify right side
    266,012.62x = 85,007,687,743.04
  5. Step 5: Solve for x
    x = 85,007,687,743.04/266,012.62
  6. Step 6: Final answer
    x = 319,562.62

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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.