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Finding the Fourth Proportional to 295,321.20, 442,981.80 and 137,565.60

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Solution

The fourth proportional to 295,321.20, 442,981.80 and 137,565.60 is: 206,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,321.20 : 442,981.80 = 137,565.60 : x
  2. Step 2: Convert to fraction form
    295,321.20/442,981.80 = 137,565.60/x
  3. Step 3: Cross multiply
    295,321.20x = 442,981.80 × 137,565.60
  4. Step 4: Simplify right side
    295,321.20x = 60,939,057,106.08
  5. Step 5: Solve for x
    x = 60,939,057,106.08/295,321.20
  6. Step 6: Final answer
    x = 206,348.40

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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.