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Finding the Fourth Proportional to 497,728.35, 686,865.81 and 271,373.85

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Solution

The fourth proportional to 497,728.35, 686,865.81 and 271,373.85 is: 374,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,728.35 : 686,865.81 = 271,373.85 : x
  2. Step 2: Convert to fraction form
    497,728.35/686,865.81 = 271,373.85/x
  3. Step 3: Cross multiply
    497,728.35x = 686,865.81 × 271,373.85
  4. Step 4: Simplify right side
    497,728.35x = 186,397,419,293.07
  5. Step 5: Solve for x
    x = 186,397,419,293.07/497,728.35
  6. Step 6: Final answer
    x = 374,496.29

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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.