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Finding the Fourth Proportional to 291,957.84, 403,011 and 227,298.96

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Solution

The fourth proportional to 291,957.84, 403,011 and 227,298.96 is: 313,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,957.84 : 403,011 = 227,298.96 : x
  2. Step 2: Convert to fraction form
    291,957.84/403,011 = 227,298.96/x
  3. Step 3: Cross multiply
    291,957.84x = 403,011 × 227,298.96
  4. Step 4: Simplify right side
    291,957.84x = 91,603,981,168.56
  5. Step 5: Solve for x
    x = 91,603,981,168.56/291,957.84
  6. Step 6: Final answer
    x = 313,757.57

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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.