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Finding the Fourth Proportional to 320,358.52, 480,505.02 and 83,670.52

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Solution

The fourth proportional to 320,358.52, 480,505.02 and 83,670.52 is: 125,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,358.52 : 480,505.02 = 83,670.52 : x
  2. Step 2: Convert to fraction form
    320,358.52/480,505.02 = 83,670.52/x
  3. Step 3: Cross multiply
    320,358.52x = 480,505.02 × 83,670.52
  4. Step 4: Simplify right side
    320,358.52x = 40,204,104,886.01
  5. Step 5: Solve for x
    x = 40,204,104,886.01/320,358.52
  6. Step 6: Final answer
    x = 125,497.22

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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.