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Finding the Fourth Proportional to 382,427.80, 573,641.70 and 256,456.60

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Solution

The fourth proportional to 382,427.80, 573,641.70 and 256,456.60 is: 384,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,427.80 : 573,641.70 = 256,456.60 : x
  2. Step 2: Convert to fraction form
    382,427.80/573,641.70 = 256,456.60/x
  3. Step 3: Cross multiply
    382,427.80x = 573,641.70 × 256,456.60
  4. Step 4: Simplify right side
    382,427.80x = 147,114,200,000.22
  5. Step 5: Solve for x
    x = 147,114,200,000.22/382,427.80
  6. Step 6: Final answer
    x = 384,684.90

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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.