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Finding the Fourth Proportional to 390,458.17, 585,825.96 and 174,297.31

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Solution

The fourth proportional to 390,458.17, 585,825.96 and 174,297.31 is: 261,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,458.17 : 585,825.96 = 174,297.31 : x
  2. Step 2: Convert to fraction form
    390,458.17/585,825.96 = 174,297.31/x
  3. Step 3: Cross multiply
    390,458.17x = 585,825.96 × 174,297.31
  4. Step 4: Simplify right side
    390,458.17x = 102,107,888,956.17
  5. Step 5: Solve for x
    x = 102,107,888,956.17/390,458.17
  6. Step 6: Final answer
    x = 261,507.88

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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.