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Finding the Fourth Proportional to 288,535.84, 398,200.07 and 159,471.53

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Solution

The fourth proportional to 288,535.84, 398,200.07 and 159,471.53 is: 220,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,535.84 : 398,200.07 = 159,471.53 : x
  2. Step 2: Convert to fraction form
    288,535.84/398,200.07 = 159,471.53/x
  3. Step 3: Cross multiply
    288,535.84x = 398,200.07 × 159,471.53
  4. Step 4: Simplify right side
    288,535.84x = 63,501,575,205.17
  5. Step 5: Solve for x
    x = 63,501,575,205.17/288,535.84
  6. Step 6: Final answer
    x = 220,082.11

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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.