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Finding the Fourth Proportional to 390,129.39, 585,194.07 and 109,646.64

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Solution

The fourth proportional to 390,129.39, 585,194.07 and 109,646.64 is: 164,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,129.39 : 585,194.07 = 109,646.64 : x
  2. Step 2: Convert to fraction form
    390,129.39/585,194.07 = 109,646.64/x
  3. Step 3: Cross multiply
    390,129.39x = 585,194.07 × 109,646.64
  4. Step 4: Simplify right side
    390,129.39x = 64,164,563,523.42
  5. Step 5: Solve for x
    x = 64,164,563,523.42/390,129.39
  6. Step 6: Final answer
    x = 164,469.96

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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.