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Finding the Fourth Proportional to 320,476.49, 480,678.02 and 83,842.01

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Solution

The fourth proportional to 320,476.49, 480,678.02 and 83,842.01 is: 125,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,476.49 : 480,678.02 = 83,842.01 : x
  2. Step 2: Convert to fraction form
    320,476.49/480,678.02 = 83,842.01/x
  3. Step 3: Cross multiply
    320,476.49x = 480,678.02 × 83,842.01
  4. Step 4: Simplify right side
    320,476.49x = 40,301,010,940.41
  5. Step 5: Solve for x
    x = 40,301,010,940.41/320,476.49
  6. Step 6: Final answer
    x = 125,753.41

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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.