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Finding the Fourth Proportional to 256,488.85, 384,774.63 and 78,995.80

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Solution

The fourth proportional to 256,488.85, 384,774.63 and 78,995.80 is: 118,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,488.85 : 384,774.63 = 78,995.80 : x
  2. Step 2: Convert to fraction form
    256,488.85/384,774.63 = 78,995.80/x
  3. Step 3: Cross multiply
    256,488.85x = 384,774.63 × 78,995.80
  4. Step 4: Simplify right side
    256,488.85x = 30,395,577,397.70
  5. Step 5: Solve for x
    x = 30,395,577,397.70/256,488.85
  6. Step 6: Final answer
    x = 118,506.43

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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.