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Finding the Fourth Proportional to 390,181.64, 585,319.31 and 137,409.84

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Solution

The fourth proportional to 390,181.64, 585,319.31 and 137,409.84 is: 206,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,181.64 : 585,319.31 = 137,409.84 : x
  2. Step 2: Convert to fraction form
    390,181.64/585,319.31 = 137,409.84/x
  3. Step 3: Cross multiply
    390,181.64x = 585,319.31 × 137,409.84
  4. Step 4: Simplify right side
    390,181.64x = 80,428,632,048.96
  5. Step 5: Solve for x
    x = 80,428,632,048.96/390,181.64
  6. Step 6: Final answer
    x = 206,131.26

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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.