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Finding the Fourth Proportional to 418,846.74, 578,002.14 and 227,855.76

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Solution

The fourth proportional to 418,846.74, 578,002.14 and 227,855.76 is: 314,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,846.74 : 578,002.14 = 227,855.76 : x
  2. Step 2: Convert to fraction form
    418,846.74/578,002.14 = 227,855.76/x
  3. Step 3: Cross multiply
    418,846.74x = 578,002.14 × 227,855.76
  4. Step 4: Simplify right side
    418,846.74x = 131,701,116,891.33
  5. Step 5: Solve for x
    x = 131,701,116,891.33/418,846.74
  6. Step 6: Final answer
    x = 314,437.49

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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.