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Finding the Fourth Proportional to 389,856.30, 584,978.85 and 221,505.90

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Solution

The fourth proportional to 389,856.30, 584,978.85 and 221,505.90 is: 332,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,856.30 : 584,978.85 = 221,505.90 : x
  2. Step 2: Convert to fraction form
    389,856.30/584,978.85 = 221,505.90/x
  3. Step 3: Cross multiply
    389,856.30x = 584,978.85 × 221,505.90
  4. Step 4: Simplify right side
    389,856.30x = 129,576,266,650.22
  5. Step 5: Solve for x
    x = 129,576,266,650.22/389,856.30
  6. Step 6: Final answer
    x = 332,369.30

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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.