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Finding the Fourth Proportional to 438,047.40, 656,879.10 and 201,311.40

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Solution

The fourth proportional to 438,047.40, 656,879.10 and 201,311.40 is: 301,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,047.40 : 656,879.10 = 201,311.40 : x
  2. Step 2: Convert to fraction form
    438,047.40/656,879.10 = 201,311.40/x
  3. Step 3: Cross multiply
    438,047.40x = 656,879.10 × 201,311.40
  4. Step 4: Simplify right side
    438,047.40x = 132,237,251,251.74
  5. Step 5: Solve for x
    x = 132,237,251,251.74/438,047.40
  6. Step 6: Final answer
    x = 301,878.86

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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.