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Finding the Fourth Proportional to 389,340.30, 584,119.80 and 189,667.20

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Solution

The fourth proportional to 389,340.30, 584,119.80 and 189,667.20 is: 284,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,340.30 : 584,119.80 = 189,667.20 : x
  2. Step 2: Convert to fraction form
    389,340.30/584,119.80 = 189,667.20/x
  3. Step 3: Cross multiply
    389,340.30x = 584,119.80 × 189,667.20
  4. Step 4: Simplify right side
    389,340.30x = 110,788,366,930.56
  5. Step 5: Solve for x
    x = 110,788,366,930.56/389,340.30
  6. Step 6: Final answer
    x = 284,554.07

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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.