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Finding the Fourth Proportional to 320,428.77, 480,670.47 and 83,771.07

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Solution

The fourth proportional to 320,428.77, 480,670.47 and 83,771.07 is: 125,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,428.77 : 480,670.47 = 83,771.07 : x
  2. Step 2: Convert to fraction form
    320,428.77/480,670.47 = 83,771.07/x
  3. Step 3: Cross multiply
    320,428.77x = 480,670.47 × 83,771.07
  4. Step 4: Simplify right side
    320,428.77x = 40,266,279,589.30
  5. Step 5: Solve for x
    x = 40,266,279,589.30/320,428.77
  6. Step 6: Final answer
    x = 125,663.75

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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.