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Finding the Fourth Proportional to 288,805.36, 398,559.96 and 159,747.76

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Solution

The fourth proportional to 288,805.36, 398,559.96 and 159,747.76 is: 220,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,805.36 : 398,559.96 = 159,747.76 : x
  2. Step 2: Convert to fraction form
    288,805.36/398,559.96 = 159,747.76/x
  3. Step 3: Cross multiply
    288,805.36x = 398,559.96 × 159,747.76
  4. Step 4: Simplify right side
    288,805.36x = 63,669,060,835.69
  5. Step 5: Solve for x
    x = 63,669,060,835.69/288,805.36
  6. Step 6: Final answer
    x = 220,456.65

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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.