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Finding the Fourth Proportional to 288,158.52, 397,642.57 and 160,842.31

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Solution

The fourth proportional to 288,158.52, 397,642.57 and 160,842.31 is: 221,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,158.52 : 397,642.57 = 160,842.31 : x
  2. Step 2: Convert to fraction form
    288,158.52/397,642.57 = 160,842.31/x
  3. Step 3: Cross multiply
    288,158.52x = 397,642.57 × 160,842.31
  4. Step 4: Simplify right side
    288,158.52x = 63,957,749,513.14
  5. Step 5: Solve for x
    x = 63,957,749,513.14/288,158.52
  6. Step 6: Final answer
    x = 221,953.35

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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.