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Finding the Fourth Proportional to 288,098.94, 397,528.92 and 160,774.20

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Solution

The fourth proportional to 288,098.94, 397,528.92 and 160,774.20 is: 221,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,098.94 : 397,528.92 = 160,774.20 : x
  2. Step 2: Convert to fraction form
    288,098.94/397,528.92 = 160,774.20/x
  3. Step 3: Cross multiply
    288,098.94x = 397,528.92 × 160,774.20
  4. Step 4: Simplify right side
    288,098.94x = 63,912,394,089.86
  5. Step 5: Solve for x
    x = 63,912,394,089.86/288,098.94
  6. Step 6: Final answer
    x = 221,841.82

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1.5x scale

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.