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Finding the Fourth Proportional to 256,342.60, 384,542.70 and 78,848.20

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Solution

The fourth proportional to 256,342.60, 384,542.70 and 78,848.20 is: 118,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,342.60 : 384,542.70 = 78,848.20 : x
  2. Step 2: Convert to fraction form
    256,342.60/384,542.70 = 78,848.20/x
  3. Step 3: Cross multiply
    256,342.60x = 384,542.70 × 78,848.20
  4. Step 4: Simplify right side
    256,342.60x = 30,320,499,718.14
  5. Step 5: Solve for x
    x = 30,320,499,718.14/256,342.60
  6. Step 6: Final answer
    x = 118,281.16

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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.