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Finding the Fourth Proportional to 392,362.51, 588,539.64 and 259,835.71

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Solution

The fourth proportional to 392,362.51, 588,539.64 and 259,835.71 is: 389,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,362.51 : 588,539.64 = 259,835.71 : x
  2. Step 2: Convert to fraction form
    392,362.51/588,539.64 = 259,835.71/x
  3. Step 3: Cross multiply
    392,362.51x = 588,539.64 × 259,835.71
  4. Step 4: Simplify right side
    392,362.51x = 152,923,612,279.85
  5. Step 5: Solve for x
    x = 152,923,612,279.85/392,362.51
  6. Step 6: Final answer
    x = 389,750.83

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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.