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Finding the Fourth Proportional to 274,702.96, 411,967.09 and 256,771.52

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Solution

The fourth proportional to 274,702.96, 411,967.09 and 256,771.52 is: 385,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,702.96 : 411,967.09 = 256,771.52 : x
  2. Step 2: Convert to fraction form
    274,702.96/411,967.09 = 256,771.52/x
  3. Step 3: Cross multiply
    274,702.96x = 411,967.09 × 256,771.52
  4. Step 4: Simplify right side
    274,702.96x = 105,781,412,545.58
  5. Step 5: Solve for x
    x = 105,781,412,545.58/274,702.96
  6. Step 6: Final answer
    x = 385,075.63

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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.