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Finding the Fourth Proportional to 320,218.10, 480,336.88 and 109,853

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Solution

The fourth proportional to 320,218.10, 480,336.88 and 109,853 is: 164,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,218.10 : 480,336.88 = 109,853 : x
  2. Step 2: Convert to fraction form
    320,218.10/480,336.88 = 109,853/x
  3. Step 3: Cross multiply
    320,218.10x = 480,336.88 × 109,853
  4. Step 4: Simplify right side
    320,218.10x = 52,766,447,278.64
  5. Step 5: Solve for x
    x = 52,766,447,278.64/320,218.10
  6. Step 6: Final answer
    x = 164,782.84

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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.