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Finding the Fourth Proportional to 289,718.40, 434,059.20 and 178,780.80

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Solution

The fourth proportional to 289,718.40, 434,059.20 and 178,780.80 is: 267,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,718.40 : 434,059.20 = 178,780.80 : x
  2. Step 2: Convert to fraction form
    289,718.40/434,059.20 = 178,780.80/x
  3. Step 3: Cross multiply
    289,718.40x = 434,059.20 × 178,780.80
  4. Step 4: Simplify right side
    289,718.40x = 77,601,451,023.36
  5. Step 5: Solve for x
    x = 77,601,451,023.36/289,718.40
  6. Step 6: Final answer
    x = 267,851.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.