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Finding the Fourth Proportional to 497,658.47, 686,769.03 and 271,303.97

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Solution

The fourth proportional to 497,658.47, 686,769.03 and 271,303.97 is: 374,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,658.47 : 686,769.03 = 271,303.97 : x
  2. Step 2: Convert to fraction form
    497,658.47/686,769.03 = 271,303.97/x
  3. Step 3: Cross multiply
    497,658.47x = 686,769.03 × 271,303.97
  4. Step 4: Simplify right side
    497,658.47x = 186,323,160,878.20
  5. Step 5: Solve for x
    x = 186,323,160,878.20/497,658.47
  6. Step 6: Final answer
    x = 374,399.66

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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.