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Finding the Fourth Proportional to 254,818.95, 382,230.74 and 77,325.97

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Solution

The fourth proportional to 254,818.95, 382,230.74 and 77,325.97 is: 115,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,818.95 : 382,230.74 = 77,325.97 : x
  2. Step 2: Convert to fraction form
    254,818.95/382,230.74 = 77,325.97/x
  3. Step 3: Cross multiply
    254,818.95x = 382,230.74 × 77,325.97
  4. Step 4: Simplify right side
    254,818.95x = 29,556,360,436.53
  5. Step 5: Solve for x
    x = 29,556,360,436.53/254,818.95
  6. Step 6: Final answer
    x = 115,989.65

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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.