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Finding the Fourth Proportional to 383,687.80, 575,530.80 and 103,205.32

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Solution

The fourth proportional to 383,687.80, 575,530.80 and 103,205.32 is: 154,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,687.80 : 575,530.80 = 103,205.32 : x
  2. Step 2: Convert to fraction form
    383,687.80/575,530.80 = 103,205.32/x
  3. Step 3: Cross multiply
    383,687.80x = 575,530.80 × 103,205.32
  4. Step 4: Simplify right side
    383,687.80x = 59,397,840,383.86
  5. Step 5: Solve for x
    x = 59,397,840,383.86/383,687.80
  6. Step 6: Final answer
    x = 154,807.74

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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.