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Finding the Fourth Proportional to 438,046.40, 656,877.60 and 201,310.40

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Solution

The fourth proportional to 438,046.40, 656,877.60 and 201,310.40 is: 301,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,046.40 : 656,877.60 = 201,310.40 : x
  2. Step 2: Convert to fraction form
    438,046.40/656,877.60 = 201,310.40/x
  3. Step 3: Cross multiply
    438,046.40x = 656,877.60 × 201,310.40
  4. Step 4: Simplify right side
    438,046.40x = 132,236,292,407.04
  5. Step 5: Solve for x
    x = 132,236,292,407.04/438,046.40
  6. Step 6: Final answer
    x = 301,877.36

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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.