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Finding the Fourth Proportional to 497,970.75, 687,199.65 and 271,616.25

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Solution

The fourth proportional to 497,970.75, 687,199.65 and 271,616.25 is: 374,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,970.75 : 687,199.65 = 271,616.25 : x
  2. Step 2: Convert to fraction form
    497,970.75/687,199.65 = 271,616.25/x
  3. Step 3: Cross multiply
    497,970.75x = 687,199.65 × 271,616.25
  4. Step 4: Simplify right side
    497,970.75x = 186,654,591,934.31
  5. Step 5: Solve for x
    x = 186,654,591,934.31/497,970.75
  6. Step 6: Final answer
    x = 374,830.43

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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.