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Finding the Fourth Proportional to 431,242.80, 646,864.20 and 411,889.20

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Solution

The fourth proportional to 431,242.80, 646,864.20 and 411,889.20 is: 617,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,242.80 : 646,864.20 = 411,889.20 : x
  2. Step 2: Convert to fraction form
    431,242.80/646,864.20 = 411,889.20/x
  3. Step 3: Cross multiply
    431,242.80x = 646,864.20 × 411,889.20
  4. Step 4: Simplify right side
    431,242.80x = 266,436,377,846.64
  5. Step 5: Solve for x
    x = 266,436,377,846.64/431,242.80
  6. Step 6: Final answer
    x = 617,833.80

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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.