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Finding the Fourth Proportional to 406,359.02, 609,912.76 and 206,822

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Solution

The fourth proportional to 406,359.02, 609,912.76 and 206,822 is: 310,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,359.02 : 609,912.76 = 206,822 : x
  2. Step 2: Convert to fraction form
    406,359.02/609,912.76 = 206,822/x
  3. Step 3: Cross multiply
    406,359.02x = 609,912.76 × 206,822
  4. Step 4: Simplify right side
    406,359.02x = 126,143,376,848.72
  5. Step 5: Solve for x
    x = 126,143,376,848.72/406,359.02
  6. Step 6: Final answer
    x = 310,423.47

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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.