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Finding the Fourth Proportional to 807,264, 1,114,131.24 and 521,614.80

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Solution

The fourth proportional to 807,264, 1,114,131.24 and 521,614.80 is: 719,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,264 : 1,114,131.24 = 521,614.80 : x
  2. Step 2: Convert to fraction form
    807,264/1,114,131.24 = 521,614.80/x
  3. Step 3: Cross multiply
    807,264x = 1,114,131.24 × 521,614.80
  4. Step 4: Simplify right side
    807,264x = 581,147,343,926.35
  5. Step 5: Solve for x
    x = 581,147,343,926.35/807,264
  6. Step 6: Final answer
    x = 719,897.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.