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Finding the Fourth Proportional to 295,523.60, 442,993.80 and 145,641.20

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Solution

The fourth proportional to 295,523.60, 442,993.80 and 145,641.20 is: 218,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,523.60 : 442,993.80 = 145,641.20 : x
  2. Step 2: Convert to fraction form
    295,523.60/442,993.80 = 145,641.20/x
  3. Step 3: Cross multiply
    295,523.60x = 442,993.80 × 145,641.20
  4. Step 4: Simplify right side
    295,523.60x = 64,518,148,624.56
  5. Step 5: Solve for x
    x = 64,518,148,624.56/295,523.60
  6. Step 6: Final answer
    x = 218,318.09

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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.