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Finding the Fourth Proportional to 418,891.08, 578,052.54 and 227,904.66

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Solution

The fourth proportional to 418,891.08, 578,052.54 and 227,904.66 is: 314,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,891.08 : 578,052.54 = 227,904.66 : x
  2. Step 2: Convert to fraction form
    418,891.08/578,052.54 = 227,904.66/x
  3. Step 3: Cross multiply
    418,891.08x = 578,052.54 × 227,904.66
  4. Step 4: Simplify right side
    418,891.08x = 131,740,867,590.84
  5. Step 5: Solve for x
    x = 131,740,867,590.84/418,891.08
  6. Step 6: Final answer
    x = 314,499.10

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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.