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Finding the Fourth Proportional to 256,221.30, 384,368.40 and 78,701.70

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Solution

The fourth proportional to 256,221.30, 384,368.40 and 78,701.70 is: 118,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,221.30 : 384,368.40 = 78,701.70 : x
  2. Step 2: Convert to fraction form
    256,221.30/384,368.40 = 78,701.70/x
  3. Step 3: Cross multiply
    256,221.30x = 384,368.40 × 78,701.70
  4. Step 4: Simplify right side
    256,221.30x = 30,250,446,506.28
  5. Step 5: Solve for x
    x = 30,250,446,506.28/256,221.30
  6. Step 6: Final answer
    x = 118,063.75

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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.