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Finding the Fourth Proportional to 389,640.10, 584,416.95 and 319,396.90

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Solution

The fourth proportional to 389,640.10, 584,416.95 and 319,396.90 is: 479,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,640.10 : 584,416.95 = 319,396.90 : x
  2. Step 2: Convert to fraction form
    389,640.10/584,416.95 = 319,396.90/x
  3. Step 3: Cross multiply
    389,640.10x = 584,416.95 × 319,396.90
  4. Step 4: Simplify right side
    389,640.10x = 186,660,962,137.46
  5. Step 5: Solve for x
    x = 186,660,962,137.46/389,640.10
  6. Step 6: Final answer
    x = 479,059.94

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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.