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Finding the Fourth Proportional to 295,807.60, 443,201.10 and 137,711.80

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Solution

The fourth proportional to 295,807.60, 443,201.10 and 137,711.80 is: 206,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,807.60 : 443,201.10 = 137,711.80 : x
  2. Step 2: Convert to fraction form
    295,807.60/443,201.10 = 137,711.80/x
  3. Step 3: Cross multiply
    295,807.60x = 443,201.10 × 137,711.80
  4. Step 4: Simplify right side
    295,807.60x = 61,034,021,242.98
  5. Step 5: Solve for x
    x = 61,034,021,242.98/295,807.60
  6. Step 6: Final answer
    x = 206,330.13

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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.