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Finding the Fourth Proportional to 320,065.58, 480,125.81 and 83,407.88

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Solution

The fourth proportional to 320,065.58, 480,125.81 and 83,407.88 is: 125,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,065.58 : 480,125.81 = 83,407.88 : x
  2. Step 2: Convert to fraction form
    320,065.58/480,125.81 = 83,407.88/x
  3. Step 3: Cross multiply
    320,065.58x = 480,125.81 × 83,407.88
  4. Step 4: Simplify right side
    320,065.58x = 40,046,277,354.22
  5. Step 5: Solve for x
    x = 40,046,277,354.22/320,065.58
  6. Step 6: Final answer
    x = 125,118.97

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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.