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Finding the Fourth Proportional to 283,219.80, 424,829.70 and 271,085.40

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Solution

The fourth proportional to 283,219.80, 424,829.70 and 271,085.40 is: 406,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219.80 : 424,829.70 = 271,085.40 : x
  2. Step 2: Convert to fraction form
    283,219.80/424,829.70 = 271,085.40/x
  3. Step 3: Cross multiply
    283,219.80x = 424,829.70 × 271,085.40
  4. Step 4: Simplify right side
    283,219.80x = 115,165,129,156.38
  5. Step 5: Solve for x
    x = 115,165,129,156.38/283,219.80
  6. Step 6: Final answer
    x = 406,628.10

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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.