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Finding the Fourth Proportional to 499,472.84, 689,257.14 and 305,954.12

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Solution

The fourth proportional to 499,472.84, 689,257.14 and 305,954.12 is: 422,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,472.84 : 689,257.14 = 305,954.12 : x
  2. Step 2: Convert to fraction form
    499,472.84/689,257.14 = 305,954.12/x
  3. Step 3: Cross multiply
    499,472.84x = 689,257.14 × 305,954.12
  4. Step 4: Simplify right side
    499,472.84x = 210,881,061,722.42
  5. Step 5: Solve for x
    x = 210,881,061,722.42/499,472.84
  6. Step 6: Final answer
    x = 422,207.27

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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.