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Finding the Fourth Proportional to 437,948.60, 657,020.10 and 201,234.20

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Solution

The fourth proportional to 437,948.60, 657,020.10 and 201,234.20 is: 301,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,948.60 : 657,020.10 = 201,234.20 : x
  2. Step 2: Convert to fraction form
    437,948.60/657,020.10 = 201,234.20/x
  3. Step 3: Cross multiply
    437,948.60x = 657,020.10 × 201,234.20
  4. Step 4: Simplify right side
    437,948.60x = 132,214,914,207.42
  5. Step 5: Solve for x
    x = 132,214,914,207.42/437,948.60
  6. Step 6: Final answer
    x = 301,895.96

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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.