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Finding the Fourth Proportional to 320,418.83, 480,655.58 and 83,761.13

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Solution

The fourth proportional to 320,418.83, 480,655.58 and 83,761.13 is: 125,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,418.83 : 480,655.58 = 83,761.13 : x
  2. Step 2: Convert to fraction form
    320,418.83/480,655.58 = 83,761.13/x
  3. Step 3: Cross multiply
    320,418.83x = 480,655.58 × 83,761.13
  4. Step 4: Simplify right side
    320,418.83x = 40,260,254,521.61
  5. Step 5: Solve for x
    x = 40,260,254,521.61/320,418.83
  6. Step 6: Final answer
    x = 125,648.84

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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.