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Finding the Fourth Proportional to 390,190.74, 585,455 and 137,651.78

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Solution

The fourth proportional to 390,190.74, 585,455 and 137,651.78 is: 206,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,190.74 : 585,455 = 137,651.78 : x
  2. Step 2: Convert to fraction form
    390,190.74/585,455 = 137,651.78/x
  3. Step 3: Cross multiply
    390,190.74x = 585,455 × 137,651.78
  4. Step 4: Simplify right side
    390,190.74x = 80,588,922,859.90
  5. Step 5: Solve for x
    x = 80,588,922,859.90/390,190.74
  6. Step 6: Final answer
    x = 206,537.25

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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.