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Finding the Fourth Proportional to 295,815.20, 443,722.80 and 138,059.60

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Solution

The fourth proportional to 295,815.20, 443,722.80 and 138,059.60 is: 207,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,815.20 : 443,722.80 = 138,059.60 : x
  2. Step 2: Convert to fraction form
    295,815.20/443,722.80 = 138,059.60/x
  3. Step 3: Cross multiply
    295,815.20x = 443,722.80 × 138,059.60
  4. Step 4: Simplify right side
    295,815.20x = 61,260,192,278.88
  5. Step 5: Solve for x
    x = 61,260,192,278.88/295,815.20
  6. Step 6: Final answer
    x = 207,089.40

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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.