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Finding the Fourth Proportional to 390,092.09, 585,138.26 and 255,269.78

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Solution

The fourth proportional to 390,092.09, 585,138.26 and 255,269.78 is: 382,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,092.09 : 585,138.26 = 255,269.78 : x
  2. Step 2: Convert to fraction form
    390,092.09/585,138.26 = 255,269.78/x
  3. Step 3: Cross multiply
    390,092.09x = 585,138.26 × 255,269.78
  4. Step 4: Simplify right side
    390,092.09x = 149,368,114,806.53
  5. Step 5: Solve for x
    x = 149,368,114,806.53/390,092.09
  6. Step 6: Final answer
    x = 382,904.76

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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.