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Finding the Fourth Proportional to 390,093.09, 585,139.76 and 255,270.78

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Solution

The fourth proportional to 390,093.09, 585,139.76 and 255,270.78 is: 382,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,093.09 : 585,139.76 = 255,270.78 : x
  2. Step 2: Convert to fraction form
    390,093.09/585,139.76 = 255,270.78/x
  3. Step 3: Cross multiply
    390,093.09x = 585,139.76 × 255,270.78
  4. Step 4: Simplify right side
    390,093.09x = 149,369,082,944.21
  5. Step 5: Solve for x
    x = 149,369,082,944.21/390,093.09
  6. Step 6: Final answer
    x = 382,906.25

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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.