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Finding the Fourth Proportional to 437,277.40, 656,207.70 and 200,498.20

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Solution

The fourth proportional to 437,277.40, 656,207.70 and 200,498.20 is: 300,881.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,277.40 : 656,207.70 = 200,498.20 : x
  2. Step 2: Convert to fraction form
    437,277.40/656,207.70 = 200,498.20/x
  3. Step 3: Cross multiply
    437,277.40x = 656,207.70 × 200,498.20
  4. Step 4: Simplify right side
    437,277.40x = 131,568,462,676.14
  5. Step 5: Solve for x
    x = 131,568,462,676.14/437,277.40
  6. Step 6: Final answer
    x = 300,881.00

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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.