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Finding the Fourth Proportional to 389,909.30, 584,884.60 and 109,448.42

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Solution

The fourth proportional to 389,909.30, 584,884.60 and 109,448.42 is: 164,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,909.30 : 584,884.60 = 109,448.42 : x
  2. Step 2: Convert to fraction form
    389,909.30/584,884.60 = 109,448.42/x
  3. Step 3: Cross multiply
    389,909.30x = 584,884.60 × 109,448.42
  4. Step 4: Simplify right side
    389,909.30x = 64,014,692,154.29
  5. Step 5: Solve for x
    x = 64,014,692,154.29/389,909.30
  6. Step 6: Final answer
    x = 164,178.42

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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.