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Finding the Fourth Proportional to 418,844.72, 578,006.52 and 227,858.96

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Solution

The fourth proportional to 418,844.72, 578,006.52 and 227,858.96 is: 314,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,844.72 : 578,006.52 = 227,858.96 : x
  2. Step 2: Convert to fraction form
    418,844.72/578,006.52 = 227,858.96/x
  3. Step 3: Cross multiply
    418,844.72x = 578,006.52 × 227,858.96
  4. Step 4: Simplify right side
    418,844.72x = 131,703,964,520.42
  5. Step 5: Solve for x
    x = 131,703,964,520.42/418,844.72
  6. Step 6: Final answer
    x = 314,445.80

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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.