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Finding the Fourth Proportional to 238,906.50, 358,351.80 and 70,429.62

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Solution

The fourth proportional to 238,906.50, 358,351.80 and 70,429.62 is: 105,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,906.50 : 358,351.80 = 70,429.62 : x
  2. Step 2: Convert to fraction form
    238,906.50/358,351.80 = 70,429.62/x
  3. Step 3: Cross multiply
    238,906.50x = 358,351.80 × 70,429.62
  4. Step 4: Simplify right side
    238,906.50x = 25,238,581,100.32
  5. Step 5: Solve for x
    x = 25,238,581,100.32/238,906.50
  6. Step 6: Final answer
    x = 105,642.09

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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.