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Finding the Fourth Proportional to 383,854.12, 575,854.96 and 147,178.35

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Solution

The fourth proportional to 383,854.12, 575,854.96 and 147,178.35 is: 220,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,854.12 : 575,854.96 = 147,178.35 : x
  2. Step 2: Convert to fraction form
    383,854.12/575,854.96 = 147,178.35/x
  3. Step 3: Cross multiply
    383,854.12x = 575,854.96 × 147,178.35
  4. Step 4: Simplify right side
    383,854.12x = 84,753,380,744.68
  5. Step 5: Solve for x
    x = 84,753,380,744.68/383,854.12
  6. Step 6: Final answer
    x = 220,795.81

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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.