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Finding the Fourth Proportional to 289,046.16, 398,871.72 and 158,222.88

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Solution

The fourth proportional to 289,046.16, 398,871.72 and 158,222.88 is: 218,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,046.16 : 398,871.72 = 158,222.88 : x
  2. Step 2: Convert to fraction form
    289,046.16/398,871.72 = 158,222.88/x
  3. Step 3: Cross multiply
    289,046.16x = 398,871.72 × 158,222.88
  4. Step 4: Simplify right side
    289,046.16x = 63,110,632,288.95
  5. Step 5: Solve for x
    x = 63,110,632,288.95/289,046.16
  6. Step 6: Final answer
    x = 218,341.02

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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.