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Finding the Fourth Proportional to 406,467.80, 609,701.70 and 256,220.90

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Solution

The fourth proportional to 406,467.80, 609,701.70 and 256,220.90 is: 384,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,467.80 : 609,701.70 = 256,220.90 : x
  2. Step 2: Convert to fraction form
    406,467.80/609,701.70 = 256,220.90/x
  3. Step 3: Cross multiply
    406,467.80x = 609,701.70 × 256,220.90
  4. Step 4: Simplify right side
    406,467.80x = 156,218,318,305.53
  5. Step 5: Solve for x
    x = 156,218,318,305.53/406,467.80
  6. Step 6: Final answer
    x = 384,331.35

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Similar ratio
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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.