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Finding the Fourth Proportional to 418,897.64, 578,093.15 and 227,918.27

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Solution

The fourth proportional to 418,897.64, 578,093.15 and 227,918.27 is: 314,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,897.64 : 578,093.15 = 227,918.27 : x
  2. Step 2: Convert to fraction form
    418,897.64/578,093.15 = 227,918.27/x
  3. Step 3: Cross multiply
    418,897.64x = 578,093.15 × 227,918.27
  4. Step 4: Simplify right side
    418,897.64x = 131,757,990,646.85
  5. Step 5: Solve for x
    x = 131,757,990,646.85/418,897.64
  6. Step 6: Final answer
    x = 314,535.05

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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.