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Finding the Fourth Proportional to 295,651.60, 442,967.10 and 137,555.80

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Solution

The fourth proportional to 295,651.60, 442,967.10 and 137,555.80 is: 206,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,651.60 : 442,967.10 = 137,555.80 : x
  2. Step 2: Convert to fraction form
    295,651.60/442,967.10 = 137,555.80/x
  3. Step 3: Cross multiply
    295,651.60x = 442,967.10 × 137,555.80
  4. Step 4: Simplify right side
    295,651.60x = 60,932,693,814.18
  5. Step 5: Solve for x
    x = 60,932,693,814.18/295,651.60
  6. Step 6: Final answer
    x = 206,096.28

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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.