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Finding the Fourth Proportional to 383,520.94, 575,364.45 and 146,863.63

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Solution

The fourth proportional to 383,520.94, 575,364.45 and 146,863.63 is: 220,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,520.94 : 575,364.45 = 146,863.63 : x
  2. Step 2: Convert to fraction form
    383,520.94/575,364.45 = 146,863.63/x
  3. Step 3: Cross multiply
    383,520.94x = 575,364.45 × 146,863.63
  4. Step 4: Simplify right side
    383,520.94x = 84,500,110,261.54
  5. Step 5: Solve for x
    x = 84,500,110,261.54/383,520.94
  6. Step 6: Final answer
    x = 220,327.24

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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.