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Finding the Fourth Proportional to 392,484.78, 588,814.92 and 143,166.78

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Solution

The fourth proportional to 392,484.78, 588,814.92 and 143,166.78 is: 214,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,484.78 : 588,814.92 = 143,166.78 : x
  2. Step 2: Convert to fraction form
    392,484.78/588,814.92 = 143,166.78/x
  3. Step 3: Cross multiply
    392,484.78x = 588,814.92 × 143,166.78
  4. Step 4: Simplify right side
    392,484.78x = 84,298,736,112.36
  5. Step 5: Solve for x
    x = 84,298,736,112.36/392,484.78
  6. Step 6: Final answer
    x = 214,782.18

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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.