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Finding the Fourth Proportional to 261,717.39, 392,259.11 and 119,367.77

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Solution

The fourth proportional to 261,717.39, 392,259.11 and 119,367.77 is: 178,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,717.39 : 392,259.11 = 119,367.77 : x
  2. Step 2: Convert to fraction form
    261,717.39/392,259.11 = 119,367.77/x
  3. Step 3: Cross multiply
    261,717.39x = 392,259.11 × 119,367.77
  4. Step 4: Simplify right side
    261,717.39x = 46,823,092,664.75
  5. Step 5: Solve for x
    x = 46,823,092,664.75/261,717.39
  6. Step 6: Final answer
    x = 178,907.07

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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.