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Finding the Fourth Proportional to 427,097.60, 639,942.72 and 146,460.80

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Solution

The fourth proportional to 427,097.60, 639,942.72 and 146,460.80 is: 219,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,097.60 : 639,942.72 = 146,460.80 : x
  2. Step 2: Convert to fraction form
    427,097.60/639,942.72 = 146,460.80/x
  3. Step 3: Cross multiply
    427,097.60x = 639,942.72 × 146,460.80
  4. Step 4: Simplify right side
    427,097.60x = 93,726,522,725.38
  5. Step 5: Solve for x
    x = 93,726,522,725.38/427,097.60
  6. Step 6: Final answer
    x = 219,449.89

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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.