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Finding the Fourth Proportional to 390,263.44, 585,327.12 and 109,714

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Solution

The fourth proportional to 390,263.44, 585,327.12 and 109,714 is: 164,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,263.44 : 585,327.12 = 109,714 : x
  2. Step 2: Convert to fraction form
    390,263.44/585,327.12 = 109,714/x
  3. Step 3: Cross multiply
    390,263.44x = 585,327.12 × 109,714
  4. Step 4: Simplify right side
    390,263.44x = 64,218,579,643.68
  5. Step 5: Solve for x
    x = 64,218,579,643.68/390,263.44
  6. Step 6: Final answer
    x = 164,551.87

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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.