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Finding the Fourth Proportional to 413,137.62, 619,634.97 and 109,533.78

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Solution

The fourth proportional to 413,137.62, 619,634.97 and 109,533.78 is: 164,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,137.62 : 619,634.97 = 109,533.78 : x
  2. Step 2: Convert to fraction form
    413,137.62/619,634.97 = 109,533.78/x
  3. Step 3: Cross multiply
    413,137.62x = 619,634.97 × 109,533.78
  4. Step 4: Simplify right side
    413,137.62x = 67,870,960,484.29
  5. Step 5: Solve for x
    x = 67,870,960,484.29/413,137.62
  6. Step 6: Final answer
    x = 164,281.72

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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.