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Finding the Fourth Proportional to 438,010.10, 657,015.15 and 257,910.65

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Solution

The fourth proportional to 438,010.10, 657,015.15 and 257,910.65 is: 386,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,010.10 : 657,015.15 = 257,910.65 : x
  2. Step 2: Convert to fraction form
    438,010.10/657,015.15 = 257,910.65/x
  3. Step 3: Cross multiply
    438,010.10x = 657,015.15 × 257,910.65
  4. Step 4: Simplify right side
    438,010.10x = 169,451,204,396.35
  5. Step 5: Solve for x
    x = 169,451,204,396.35/438,010.10
  6. Step 6: Final answer
    x = 386,865.98

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Double scale
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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.