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Finding the Fourth Proportional to 418,065.49, 576,931.44 and 227,074.78

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Solution

The fourth proportional to 418,065.49, 576,931.44 and 227,074.78 is: 313,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,065.49 : 576,931.44 = 227,074.78 : x
  2. Step 2: Convert to fraction form
    418,065.49/576,931.44 = 227,074.78/x
  3. Step 3: Cross multiply
    418,065.49x = 576,931.44 × 227,074.78
  4. Step 4: Simplify right side
    418,065.49x = 131,006,579,813.08
  5. Step 5: Solve for x
    x = 131,006,579,813.08/418,065.49
  6. Step 6: Final answer
    x = 313,363.77

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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.