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Finding the Fourth Proportional to 390,164.84, 585,247.25 and 109,682.09

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Solution

The fourth proportional to 390,164.84, 585,247.25 and 109,682.09 is: 164,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,164.84 : 585,247.25 = 109,682.09 : x
  2. Step 2: Convert to fraction form
    390,164.84/585,247.25 = 109,682.09/x
  3. Step 3: Cross multiply
    390,164.84x = 585,247.25 × 109,682.09
  4. Step 4: Simplify right side
    390,164.84x = 64,191,138,072.11
  5. Step 5: Solve for x
    x = 64,191,138,072.11/390,164.84
  6. Step 6: Final answer
    x = 164,523.13

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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.