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Finding the Fourth Proportional to 442,885.65, 663,329.67 and 205,729.26

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Solution

The fourth proportional to 442,885.65, 663,329.67 and 205,729.26 is: 308,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,885.65 : 663,329.67 = 205,729.26 : x
  2. Step 2: Convert to fraction form
    442,885.65/663,329.67 = 205,729.26/x
  3. Step 3: Cross multiply
    442,885.65x = 663,329.67 × 205,729.26
  4. Step 4: Simplify right side
    442,885.65x = 136,466,318,828.50
  5. Step 5: Solve for x
    x = 136,466,318,828.50/442,885.65
  6. Step 6: Final answer
    x = 308,129.92

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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.