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Finding the Fourth Proportional to 418,830.84, 628,238.07 and 119,313.36

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Solution

The fourth proportional to 418,830.84, 628,238.07 and 119,313.36 is: 178,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,830.84 : 628,238.07 = 119,313.36 : x
  2. Step 2: Convert to fraction form
    418,830.84/628,238.07 = 119,313.36/x
  3. Step 3: Cross multiply
    418,830.84x = 628,238.07 × 119,313.36
  4. Step 4: Simplify right side
    418,830.84x = 74,957,195,011.62
  5. Step 5: Solve for x
    x = 74,957,195,011.62/418,830.84
  6. Step 6: Final answer
    x = 178,967.71

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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.