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Finding the Fourth Proportional to 389,718.36, 584,614.79 and 109,234.80

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Solution

The fourth proportional to 389,718.36, 584,614.79 and 109,234.80 is: 163,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,718.36 : 584,614.79 = 109,234.80 : x
  2. Step 2: Convert to fraction form
    389,718.36/584,614.79 = 109,234.80/x
  3. Step 3: Cross multiply
    389,718.36x = 584,614.79 × 109,234.80
  4. Step 4: Simplify right side
    389,718.36x = 63,860,279,116.52
  5. Step 5: Solve for x
    x = 63,860,279,116.52/389,718.36
  6. Step 6: Final answer
    x = 163,862.64

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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.