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Finding the Fourth Proportional to 390,449.14, 585,819.51 and 153,956.68

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Solution

The fourth proportional to 390,449.14, 585,819.51 and 153,956.68 is: 230,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,449.14 : 585,819.51 = 153,956.68 : x
  2. Step 2: Convert to fraction form
    390,449.14/585,819.51 = 153,956.68/x
  3. Step 3: Cross multiply
    390,449.14x = 585,819.51 × 153,956.68
  4. Step 4: Simplify right side
    390,449.14x = 90,190,824,796.94
  5. Step 5: Solve for x
    x = 90,190,824,796.94/390,449.14
  6. Step 6: Final answer
    x = 230,992.51

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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.