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Finding the Fourth Proportional to 348,981.84, 521,108.70 and 277,097.88

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Solution

The fourth proportional to 348,981.84, 521,108.70 and 277,097.88 is: 413,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,981.84 : 521,108.70 = 277,097.88 : x
  2. Step 2: Convert to fraction form
    348,981.84/521,108.70 = 277,097.88/x
  3. Step 3: Cross multiply
    348,981.84x = 521,108.70 × 277,097.88
  4. Step 4: Simplify right side
    348,981.84x = 144,398,116,019.56
  5. Step 5: Solve for x
    x = 144,398,116,019.56/348,981.84
  6. Step 6: Final answer
    x = 413,769.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.