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Finding the Fourth Proportional to 390,154.30, 585,231.44 and 109,671.55

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Solution

The fourth proportional to 390,154.30, 585,231.44 and 109,671.55 is: 164,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,154.30 : 585,231.44 = 109,671.55 : x
  2. Step 2: Convert to fraction form
    390,154.30/585,231.44 = 109,671.55/x
  3. Step 3: Cross multiply
    390,154.30x = 585,231.44 × 109,671.55
  4. Step 4: Simplify right side
    390,154.30x = 64,183,237,122.10
  5. Step 5: Solve for x
    x = 64,183,237,122.10/390,154.30
  6. Step 6: Final answer
    x = 164,507.32

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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.