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Finding the Fourth Proportional to 286,395.87, 429,608.15 and 73,165.42

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Solution

The fourth proportional to 286,395.87, 429,608.15 and 73,165.42 is: 109,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,395.87 : 429,608.15 = 73,165.42 : x
  2. Step 2: Convert to fraction form
    286,395.87/429,608.15 = 73,165.42/x
  3. Step 3: Cross multiply
    286,395.87x = 429,608.15 × 73,165.42
  4. Step 4: Simplify right side
    286,395.87x = 31,432,458,216.31
  5. Step 5: Solve for x
    x = 31,432,458,216.31/286,395.87
  6. Step 6: Final answer
    x = 109,751.79

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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.