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Finding the Fourth Proportional to 390,539.09, 585,597.90 and 177,190.56

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Solution

The fourth proportional to 390,539.09, 585,597.90 and 177,190.56 is: 265,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,539.09 : 585,597.90 = 177,190.56 : x
  2. Step 2: Convert to fraction form
    390,539.09/585,597.90 = 177,190.56/x
  3. Step 3: Cross multiply
    390,539.09x = 585,597.90 × 177,190.56
  4. Step 4: Simplify right side
    390,539.09x = 103,762,419,835.82
  5. Step 5: Solve for x
    x = 103,762,419,835.82/390,539.09
  6. Step 6: Final answer
    x = 265,690.23

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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.