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Finding the Fourth Proportional to 497,738.88, 686,876.16 and 271,393.92

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Solution

The fourth proportional to 497,738.88, 686,876.16 and 271,393.92 is: 374,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,738.88 : 686,876.16 = 271,393.92 : x
  2. Step 2: Convert to fraction form
    497,738.88/686,876.16 = 271,393.92/x
  3. Step 3: Cross multiply
    497,738.88x = 686,876.16 × 271,393.92
  4. Step 4: Simplify right side
    497,738.88x = 186,414,013,616.95
  5. Step 5: Solve for x
    x = 186,414,013,616.95/497,738.88
  6. Step 6: Final answer
    x = 374,521.70

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1.5x scale

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.