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Finding the Fourth Proportional to 359,164.82, 538,749.92 and 159,431.51

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Solution

The fourth proportional to 359,164.82, 538,749.92 and 159,431.51 is: 239,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,164.82 : 538,749.92 = 159,431.51 : x
  2. Step 2: Convert to fraction form
    359,164.82/538,749.92 = 159,431.51/x
  3. Step 3: Cross multiply
    359,164.82x = 538,749.92 × 159,431.51
  4. Step 4: Simplify right side
    359,164.82x = 85,893,710,165.65
  5. Step 5: Solve for x
    x = 85,893,710,165.65/359,164.82
  6. Step 6: Final answer
    x = 239,148.45

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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.