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Finding the Fourth Proportional to 418,911.24, 578,109.69 and 227,936.91

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Solution

The fourth proportional to 418,911.24, 578,109.69 and 227,936.91 is: 314,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,911.24 : 578,109.69 = 227,936.91 : x
  2. Step 2: Convert to fraction form
    418,911.24/578,109.69 = 227,936.91/x
  3. Step 3: Cross multiply
    418,911.24x = 578,109.69 × 227,936.91
  4. Step 4: Simplify right side
    418,911.24x = 131,772,536,379.66
  5. Step 5: Solve for x
    x = 131,772,536,379.66/418,911.24
  6. Step 6: Final answer
    x = 314,559.56

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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.