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Finding the Fourth Proportional to 256,248.56, 384,372.95 and 69,260.06

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Solution

The fourth proportional to 256,248.56, 384,372.95 and 69,260.06 is: 103,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,248.56 : 384,372.95 = 69,260.06 : x
  2. Step 2: Convert to fraction form
    256,248.56/384,372.95 = 69,260.06/x
  3. Step 3: Cross multiply
    256,248.56x = 384,372.95 × 69,260.06
  4. Step 4: Simplify right side
    256,248.56x = 26,621,694,194.01
  5. Step 5: Solve for x
    x = 26,621,694,194.01/256,248.56
  6. Step 6: Final answer
    x = 103,890.12

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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.