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Finding the Fourth Proportional to 497,990.82, 687,229.51 and 271,641.18

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Solution

The fourth proportional to 497,990.82, 687,229.51 and 271,641.18 is: 374,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,990.82 : 687,229.51 = 271,641.18 : x
  2. Step 2: Convert to fraction form
    497,990.82/687,229.51 = 271,641.18/x
  3. Step 3: Cross multiply
    497,990.82x = 687,229.51 × 271,641.18
  4. Step 4: Simplify right side
    497,990.82x = 186,679,834,348.12
  5. Step 5: Solve for x
    x = 186,679,834,348.12/497,990.82
  6. Step 6: Final answer
    x = 374,866.02

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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.