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Finding the Fourth Proportional to 288,592.87, 398,252.28 and 159,536.78

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Solution

The fourth proportional to 288,592.87, 398,252.28 and 159,536.78 is: 220,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,592.87 : 398,252.28 = 159,536.78 : x
  2. Step 2: Convert to fraction form
    288,592.87/398,252.28 = 159,536.78/x
  3. Step 3: Cross multiply
    288,592.87x = 398,252.28 × 159,536.78
  4. Step 4: Simplify right side
    288,592.87x = 63,535,887,374.49
  5. Step 5: Solve for x
    x = 63,535,887,374.49/288,592.87
  6. Step 6: Final answer
    x = 220,157.51

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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.