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Finding the Fourth Proportional to 288,651.60, 398,336.13 and 159,599.16

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Solution

The fourth proportional to 288,651.60, 398,336.13 and 159,599.16 is: 220,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,651.60 : 398,336.13 = 159,599.16 : x
  2. Step 2: Convert to fraction form
    288,651.60/398,336.13 = 159,599.16/x
  3. Step 3: Cross multiply
    288,651.60x = 398,336.13 × 159,599.16
  4. Step 4: Simplify right side
    288,651.60x = 63,574,111,745.65
  5. Step 5: Solve for x
    x = 63,574,111,745.65/288,651.60
  6. Step 6: Final answer
    x = 220,245.14

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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.