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Finding the Fourth Proportional to 389,614.60, 584,378.70 and 319,371.40

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Solution

The fourth proportional to 389,614.60, 584,378.70 and 319,371.40 is: 479,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,614.60 : 584,378.70 = 319,371.40 : x
  2. Step 2: Convert to fraction form
    389,614.60/584,378.70 = 319,371.40/x
  3. Step 3: Cross multiply
    389,614.60x = 584,378.70 × 319,371.40
  4. Step 4: Simplify right side
    389,614.60x = 186,633,843,549.18
  5. Step 5: Solve for x
    x = 186,633,843,549.18/389,614.60
  6. Step 6: Final answer
    x = 479,021.69

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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.