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Finding the Fourth Proportional to 509,908.92, 703,678.86 and 277,337.94

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Solution

The fourth proportional to 509,908.92, 703,678.86 and 277,337.94 is: 382,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,908.92 : 703,678.86 = 277,337.94 : x
  2. Step 2: Convert to fraction form
    509,908.92/703,678.86 = 277,337.94/x
  3. Step 3: Cross multiply
    509,908.92x = 703,678.86 × 277,337.94
  4. Step 4: Simplify right side
    509,908.92x = 195,156,845,453.95
  5. Step 5: Solve for x
    x = 195,156,845,453.95/509,908.92
  6. Step 6: Final answer
    x = 382,728.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.