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Finding the Fourth Proportional to 383,520.89, 575,364.38 and 146,863.58

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Solution

The fourth proportional to 383,520.89, 575,364.38 and 146,863.58 is: 220,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,520.89 : 575,364.38 = 146,863.58 : x
  2. Step 2: Convert to fraction form
    383,520.89/575,364.38 = 146,863.58/x
  3. Step 3: Cross multiply
    383,520.89x = 575,364.38 × 146,863.58
  4. Step 4: Simplify right side
    383,520.89x = 84,500,069,040.14
  5. Step 5: Solve for x
    x = 84,500,069,040.14/383,520.89
  6. Step 6: Final answer
    x = 220,327.16

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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.