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Finding the Fourth Proportional to 460,892.13, 636,033.78 and 256,956

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Solution

The fourth proportional to 460,892.13, 636,033.78 and 256,956 is: 354,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,892.13 : 636,033.78 = 256,956 : x
  2. Step 2: Convert to fraction form
    460,892.13/636,033.78 = 256,956/x
  3. Step 3: Cross multiply
    460,892.13x = 636,033.78 × 256,956
  4. Step 4: Simplify right side
    460,892.13x = 163,432,695,973.68
  5. Step 5: Solve for x
    x = 163,432,695,973.68/460,892.13
  6. Step 6: Final answer
    x = 354,600.75

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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.