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Finding the Fourth Proportional to 256,339.04, 384,574.20 and 78,847.58

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Solution

The fourth proportional to 256,339.04, 384,574.20 and 78,847.58 is: 118,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,339.04 : 384,574.20 = 78,847.58 : x
  2. Step 2: Convert to fraction form
    256,339.04/384,574.20 = 78,847.58/x
  3. Step 3: Cross multiply
    256,339.04x = 384,574.20 × 78,847.58
  4. Step 4: Simplify right side
    256,339.04x = 30,322,745,000.44
  5. Step 5: Solve for x
    x = 30,322,745,000.44/256,339.04
  6. Step 6: Final answer
    x = 118,291.56

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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.