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Finding the Fourth Proportional to 256,420.20, 384,672.06 and 78,927.24

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Solution

The fourth proportional to 256,420.20, 384,672.06 and 78,927.24 is: 118,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,420.20 : 384,672.06 = 78,927.24 : x
  2. Step 2: Convert to fraction form
    256,420.20/384,672.06 = 78,927.24/x
  3. Step 3: Cross multiply
    256,420.20x = 384,672.06 × 78,927.24
  4. Step 4: Simplify right side
    256,420.20x = 30,361,104,000.91
  5. Step 5: Solve for x
    x = 30,361,104,000.91/256,420.20
  6. Step 6: Final answer
    x = 118,403.71

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1.5x scale

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.