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Finding the Fourth Proportional to 312,654.36, 469,025.28 and 102,250.38

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Solution

The fourth proportional to 312,654.36, 469,025.28 and 102,250.38 is: 153,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,654.36 : 469,025.28 = 102,250.38 : x
  2. Step 2: Convert to fraction form
    312,654.36/469,025.28 = 102,250.38/x
  3. Step 3: Cross multiply
    312,654.36x = 469,025.28 × 102,250.38
  4. Step 4: Simplify right side
    312,654.36x = 47,958,013,109.61
  5. Step 5: Solve for x
    x = 47,958,013,109.61/312,654.36
  6. Step 6: Final answer
    x = 153,389.87

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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.