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Finding the Fourth Proportional to 284,350.76, 392,404.20 and 155,291

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Solution

The fourth proportional to 284,350.76, 392,404.20 and 155,291 is: 214,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,350.76 : 392,404.20 = 155,291 : x
  2. Step 2: Convert to fraction form
    284,350.76/392,404.20 = 155,291/x
  3. Step 3: Cross multiply
    284,350.76x = 392,404.20 × 155,291
  4. Step 4: Simplify right side
    284,350.76x = 60,936,840,622.20
  5. Step 5: Solve for x
    x = 60,936,840,622.20/284,350.76
  6. Step 6: Final answer
    x = 214,301.66

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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.