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Finding the Fourth Proportional to 389,638.60, 584,414.70 and 319,395.40

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Solution

The fourth proportional to 389,638.60, 584,414.70 and 319,395.40 is: 479,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,638.60 : 584,414.70 = 319,395.40 : x
  2. Step 2: Convert to fraction form
    389,638.60/584,414.70 = 319,395.40/x
  3. Step 3: Cross multiply
    389,638.60x = 584,414.70 × 319,395.40
  4. Step 4: Simplify right side
    389,638.60x = 186,659,366,872.38
  5. Step 5: Solve for x
    x = 186,659,366,872.38/389,638.60
  6. Step 6: Final answer
    x = 479,057.69

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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.