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Finding the Fourth Proportional to 306,642.80, 459,089.40 and 271,650.80

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Solution

The fourth proportional to 306,642.80, 459,089.40 and 271,650.80 is: 406,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,642.80 : 459,089.40 = 271,650.80 : x
  2. Step 2: Convert to fraction form
    306,642.80/459,089.40 = 271,650.80/x
  3. Step 3: Cross multiply
    306,642.80x = 459,089.40 × 271,650.80
  4. Step 4: Simplify right side
    306,642.80x = 124,712,002,781.52
  5. Step 5: Solve for x
    x = 124,712,002,781.52/306,642.80
  6. Step 6: Final answer
    x = 406,701.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.