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Finding the Fourth Proportional to 254,460, 381,690.02 and 79,356

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Solution

The fourth proportional to 254,460, 381,690.02 and 79,356 is: 119,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,460 : 381,690.02 = 79,356 : x
  2. Step 2: Convert to fraction form
    254,460/381,690.02 = 79,356/x
  3. Step 3: Cross multiply
    254,460x = 381,690.02 × 79,356
  4. Step 4: Simplify right side
    254,460x = 30,289,393,227.12
  5. Step 5: Solve for x
    x = 30,289,393,227.12/254,460
  6. Step 6: Final answer
    x = 119,034.01

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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.