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Finding the Fourth Proportional to 497,497.80, 686,565.99 and 271,143.30

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Solution

The fourth proportional to 497,497.80, 686,565.99 and 271,143.30 is: 374,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,497.80 : 686,565.99 = 271,143.30 : x
  2. Step 2: Convert to fraction form
    497,497.80/686,565.99 = 271,143.30/x
  3. Step 3: Cross multiply
    497,497.80x = 686,565.99 × 271,143.30
  4. Step 4: Simplify right side
    497,497.80x = 186,157,768,196.37
  5. Step 5: Solve for x
    x = 186,157,768,196.37/497,497.80
  6. Step 6: Final answer
    x = 374,188.12

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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.