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Finding the Fourth Proportional to 289,000.64, 398,793.84 and 180,094.88

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Solution

The fourth proportional to 289,000.64, 398,793.84 and 180,094.88 is: 248,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,000.64 : 398,793.84 = 180,094.88 : x
  2. Step 2: Convert to fraction form
    289,000.64/398,793.84 = 180,094.88/x
  3. Step 3: Cross multiply
    289,000.64x = 398,793.84 × 180,094.88
  4. Step 4: Simplify right side
    289,000.64x = 71,820,728,759.54
  5. Step 5: Solve for x
    x = 71,820,728,759.54/289,000.64
  6. Step 6: Final answer
    x = 248,514.08

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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.