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Finding the Fourth Proportional to 274,702.46, 411,966.34 and 256,771.01

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Solution

The fourth proportional to 274,702.46, 411,966.34 and 256,771.01 is: 385,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,702.46 : 411,966.34 = 256,771.01 : x
  2. Step 2: Convert to fraction form
    274,702.46/411,966.34 = 256,771.01/x
  3. Step 3: Cross multiply
    274,702.46x = 411,966.34 × 256,771.01
  4. Step 4: Simplify right side
    274,702.46x = 105,781,013,595.79
  5. Step 5: Solve for x
    x = 105,781,013,595.79/274,702.46
  6. Step 6: Final answer
    x = 385,074.88

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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.