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Finding the Fourth Proportional to 274,770.80, 411,637.80 and 256,108.40

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Solution

The fourth proportional to 274,770.80, 411,637.80 and 256,108.40 is: 383,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,770.80 : 411,637.80 = 256,108.40 : x
  2. Step 2: Convert to fraction form
    274,770.80/411,637.80 = 256,108.40/x
  3. Step 3: Cross multiply
    274,770.80x = 411,637.80 × 256,108.40
  4. Step 4: Simplify right side
    274,770.80x = 105,423,898,337.52
  5. Step 5: Solve for x
    x = 105,423,898,337.52/274,770.80
  6. Step 6: Final answer
    x = 383,679.41

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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.