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Finding the Fourth Proportional to 274,877, 412,364.76 and 141,721.52

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Solution

The fourth proportional to 274,877, 412,364.76 and 141,721.52 is: 212,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,877 : 412,364.76 = 141,721.52 : x
  2. Step 2: Convert to fraction form
    274,877/412,364.76 = 141,721.52/x
  3. Step 3: Cross multiply
    274,877x = 412,364.76 × 141,721.52
  4. Step 4: Simplify right side
    274,877x = 58,440,960,581.64
  5. Step 5: Solve for x
    x = 58,440,960,581.64/274,877
  6. Step 6: Final answer
    x = 212,607.68

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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.