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Finding the Fourth Proportional to 418,093.71, 576,981.81 and 227,120.01

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Solution

The fourth proportional to 418,093.71, 576,981.81 and 227,120.01 is: 313,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,093.71 : 576,981.81 = 227,120.01 : x
  2. Step 2: Convert to fraction form
    418,093.71/576,981.81 = 227,120.01/x
  3. Step 3: Cross multiply
    418,093.71x = 576,981.81 × 227,120.01
  4. Step 4: Simplify right side
    418,093.71x = 131,044,114,457.02
  5. Step 5: Solve for x
    x = 131,044,114,457.02/418,093.71
  6. Step 6: Final answer
    x = 313,432.40

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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.