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Finding the Fourth Proportional to 284,559.80, 426,839.70 and 271,437.80

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Solution

The fourth proportional to 284,559.80, 426,839.70 and 271,437.80 is: 407,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,559.80 : 426,839.70 = 271,437.80 : x
  2. Step 2: Convert to fraction form
    284,559.80/426,839.70 = 271,437.80/x
  3. Step 3: Cross multiply
    284,559.80x = 426,839.70 × 271,437.80
  4. Step 4: Simplify right side
    284,559.80x = 115,860,429,120.66
  5. Step 5: Solve for x
    x = 115,860,429,120.66/284,559.80
  6. Step 6: Final answer
    x = 407,156.70

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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.