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Finding the Fourth Proportional to 413,121.66, 619,685.94 and 113,618.66

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Solution

The fourth proportional to 413,121.66, 619,685.94 and 113,618.66 is: 170,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,121.66 : 619,685.94 = 113,618.66 : x
  2. Step 2: Convert to fraction form
    413,121.66/619,685.94 = 113,618.66/x
  3. Step 3: Cross multiply
    413,121.66x = 619,685.94 × 113,618.66
  4. Step 4: Simplify right side
    413,121.66x = 70,407,886,297.91
  5. Step 5: Solve for x
    x = 70,407,886,297.91/413,121.66
  6. Step 6: Final answer
    x = 170,428.94

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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.