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Finding the Fourth Proportional to 295,825.60, 443,228.10 and 137,729.80

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Solution

The fourth proportional to 295,825.60, 443,228.10 and 137,729.80 is: 206,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,825.60 : 443,228.10 = 137,729.80 : x
  2. Step 2: Convert to fraction form
    295,825.60/443,228.10 = 137,729.80/x
  3. Step 3: Cross multiply
    295,825.60x = 443,228.10 × 137,729.80
  4. Step 4: Simplify right side
    295,825.60x = 61,045,717,567.38
  5. Step 5: Solve for x
    x = 61,045,717,567.38/295,825.60
  6. Step 6: Final answer
    x = 206,357.12

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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.