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Finding the Fourth Proportional to 275,253, 412,948.86 and 78,261

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Solution

The fourth proportional to 275,253, 412,948.86 and 78,261 is: 117,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,253 : 412,948.86 = 78,261 : x
  2. Step 2: Convert to fraction form
    275,253/412,948.86 = 78,261/x
  3. Step 3: Cross multiply
    275,253x = 412,948.86 × 78,261
  4. Step 4: Simplify right side
    275,253x = 32,317,790,732.46
  5. Step 5: Solve for x
    x = 32,317,790,732.46/275,253
  6. Step 6: Final answer
    x = 117,411.22

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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.