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Finding the Fourth Proportional to 298,097.28, 447,146.88 and 187,056

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Solution

The fourth proportional to 298,097.28, 447,146.88 and 187,056 is: 280,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,097.28 : 447,146.88 = 187,056 : x
  2. Step 2: Convert to fraction form
    298,097.28/447,146.88 = 187,056/x
  3. Step 3: Cross multiply
    298,097.28x = 447,146.88 × 187,056
  4. Step 4: Simplify right side
    298,097.28x = 83,641,506,785.28
  5. Step 5: Solve for x
    x = 83,641,506,785.28/298,097.28
  6. Step 6: Final answer
    x = 280,584.60

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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.