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Finding the Fourth Proportional to 390,205.42, 585,308.38 and 109,722.68

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Solution

The fourth proportional to 390,205.42, 585,308.38 and 109,722.68 is: 164,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,205.42 : 585,308.38 = 109,722.68 : x
  2. Step 2: Convert to fraction form
    390,205.42/585,308.38 = 109,722.68/x
  3. Step 3: Cross multiply
    390,205.42x = 585,308.38 × 109,722.68
  4. Step 4: Simplify right side
    390,205.42x = 64,221,604,080.06
  5. Step 5: Solve for x
    x = 64,221,604,080.06/390,205.42
  6. Step 6: Final answer
    x = 164,584.09

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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.