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Finding the Fourth Proportional to 255,407.74, 383,171.64 and 77,914.78

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Solution

The fourth proportional to 255,407.74, 383,171.64 and 77,914.78 is: 116,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,407.74 : 383,171.64 = 77,914.78 : x
  2. Step 2: Convert to fraction form
    255,407.74/383,171.64 = 77,914.78/x
  3. Step 3: Cross multiply
    255,407.74x = 383,171.64 × 77,914.78
  4. Step 4: Simplify right side
    255,407.74x = 29,854,734,032.84
  5. Step 5: Solve for x
    x = 29,854,734,032.84/255,407.74
  6. Step 6: Final answer
    x = 116,890.48

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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.