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Finding the Fourth Proportional to 418,219.71, 626,976.91 and 181,384.01

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Solution

The fourth proportional to 418,219.71, 626,976.91 and 181,384.01 is: 271,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,219.71 : 626,976.91 = 181,384.01 : x
  2. Step 2: Convert to fraction form
    418,219.71/626,976.91 = 181,384.01/x
  3. Step 3: Cross multiply
    418,219.71x = 626,976.91 × 181,384.01
  4. Step 4: Simplify right side
    418,219.71x = 113,723,584,535.93
  5. Step 5: Solve for x
    x = 113,723,584,535.93/418,219.71
  6. Step 6: Final answer
    x = 271,923.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.