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Finding the Fourth Proportional to 255,219.31, 382,718.02 and 77,684.73

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Solution

The fourth proportional to 255,219.31, 382,718.02 and 77,684.73 is: 116,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,219.31 : 382,718.02 = 77,684.73 : x
  2. Step 2: Convert to fraction form
    255,219.31/382,718.02 = 77,684.73/x
  3. Step 3: Cross multiply
    255,219.31x = 382,718.02 × 77,684.73
  4. Step 4: Simplify right side
    255,219.31x = 29,731,346,049.83
  5. Step 5: Solve for x
    x = 29,731,346,049.83/255,219.31
  6. Step 6: Final answer
    x = 116,493.33

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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.