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Finding the Fourth Proportional to 418,885.62, 578,064.66 and 227,900.37

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Solution

The fourth proportional to 418,885.62, 578,064.66 and 227,900.37 is: 314,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,885.62 : 578,064.66 = 227,900.37 : x
  2. Step 2: Convert to fraction form
    418,885.62/578,064.66 = 227,900.37/x
  3. Step 3: Cross multiply
    418,885.62x = 578,064.66 × 227,900.37
  4. Step 4: Simplify right side
    418,885.62x = 131,741,149,897.92
  5. Step 5: Solve for x
    x = 131,741,149,897.92/418,885.62
  6. Step 6: Final answer
    x = 314,503.87

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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.