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Finding the Fourth Proportional to 358,855.35, 538,388.29 and 106,142.50

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Solution

The fourth proportional to 358,855.35, 538,388.29 and 106,142.50 is: 159,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,855.35 : 538,388.29 = 106,142.50 : x
  2. Step 2: Convert to fraction form
    358,855.35/538,388.29 = 106,142.50/x
  3. Step 3: Cross multiply
    358,855.35x = 538,388.29 × 106,142.50
  4. Step 4: Simplify right side
    358,855.35x = 57,145,879,071.33
  5. Step 5: Solve for x
    x = 57,145,879,071.33/358,855.35
  6. Step 6: Final answer
    x = 159,244.89

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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.