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Finding the Fourth Proportional to 255,742.93, 383,615.61 and 78,249.65

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Solution

The fourth proportional to 255,742.93, 383,615.61 and 78,249.65 is: 117,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,742.93 : 383,615.61 = 78,249.65 : x
  2. Step 2: Convert to fraction form
    255,742.93/383,615.61 = 78,249.65/x
  3. Step 3: Cross multiply
    255,742.93x = 383,615.61 × 78,249.65
  4. Step 4: Simplify right side
    255,742.93x = 30,017,786,825.79
  5. Step 5: Solve for x
    x = 30,017,786,825.79/255,742.93
  6. Step 6: Final answer
    x = 117,374.85

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1.5x scale

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.