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Finding the Fourth Proportional to 261,788.39, 392,319.24 and 119,285.40

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Solution

The fourth proportional to 261,788.39, 392,319.24 and 119,285.40 is: 178,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,788.39 : 392,319.24 = 119,285.40 : x
  2. Step 2: Convert to fraction form
    261,788.39/392,319.24 = 119,285.40/x
  3. Step 3: Cross multiply
    261,788.39x = 392,319.24 × 119,285.40
  4. Step 4: Simplify right side
    261,788.39x = 46,797,957,471.10
  5. Step 5: Solve for x
    x = 46,797,957,471.10/261,788.39
  6. Step 6: Final answer
    x = 178,762.54

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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.