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Finding the Fourth Proportional to 494,726.47, 682,737.76 and 279,862.22

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Solution

The fourth proportional to 494,726.47, 682,737.76 and 279,862.22 is: 386,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,726.47 : 682,737.76 = 279,862.22 : x
  2. Step 2: Convert to fraction form
    494,726.47/682,737.76 = 279,862.22/x
  3. Step 3: Cross multiply
    494,726.47x = 682,737.76 × 279,862.22
  4. Step 4: Simplify right side
    494,726.47x = 191,072,507,248.10
  5. Step 5: Solve for x
    x = 191,072,507,248.10/494,726.47
  6. Step 6: Final answer
    x = 386,218.49

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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.