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Finding the Fourth Proportional to 288,937.95, 398,735 and 159,885.78

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Solution

The fourth proportional to 288,937.95, 398,735 and 159,885.78 is: 220,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,937.95 : 398,735 = 159,885.78 : x
  2. Step 2: Convert to fraction form
    288,937.95/398,735 = 159,885.78/x
  3. Step 3: Cross multiply
    288,937.95x = 398,735 × 159,885.78
  4. Step 4: Simplify right side
    288,937.95x = 63,752,056,488.30
  5. Step 5: Solve for x
    x = 63,752,056,488.30/288,937.95
  6. Step 6: Final answer
    x = 220,642.72

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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.