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Finding the Fourth Proportional to 288,345.72, 397,928.36 and 159,290.85

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Solution

The fourth proportional to 288,345.72, 397,928.36 and 159,290.85 is: 219,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,345.72 : 397,928.36 = 159,290.85 : x
  2. Step 2: Convert to fraction form
    288,345.72/397,928.36 = 159,290.85/x
  3. Step 3: Cross multiply
    288,345.72x = 397,928.36 × 159,290.85
  4. Step 4: Simplify right side
    288,345.72x = 63,386,345,907.05
  5. Step 5: Solve for x
    x = 63,386,345,907.05/288,345.72
  6. Step 6: Final answer
    x = 219,827.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.