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Finding the Fourth Proportional to 312,147, 468,289.98 and 122,625.72

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Solution

The fourth proportional to 312,147, 468,289.98 and 122,625.72 is: 183,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,147 : 468,289.98 = 122,625.72 : x
  2. Step 2: Convert to fraction form
    312,147/468,289.98 = 122,625.72/x
  3. Step 3: Cross multiply
    312,147x = 468,289.98 × 122,625.72
  4. Step 4: Simplify right side
    312,147x = 57,424,395,966.29
  5. Step 5: Solve for x
    x = 57,424,395,966.29/312,147
  6. Step 6: Final answer
    x = 183,965.87

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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.