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Finding the Fourth Proportional to 359,164.70, 538,749.74 and 159,431.39

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Solution

The fourth proportional to 359,164.70, 538,749.74 and 159,431.39 is: 239,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,164.70 : 538,749.74 = 159,431.39 : x
  2. Step 2: Convert to fraction form
    359,164.70/538,749.74 = 159,431.39/x
  3. Step 3: Cross multiply
    359,164.70x = 538,749.74 × 159,431.39
  4. Step 4: Simplify right side
    359,164.70x = 85,893,616,419.43
  5. Step 5: Solve for x
    x = 85,893,616,419.43/359,164.70
  6. Step 6: Final answer
    x = 239,148.27

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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.