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Finding the Fourth Proportional to 320,008.96, 480,013.44 and 98,392.96

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Solution

The fourth proportional to 320,008.96, 480,013.44 and 98,392.96 is: 147,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,008.96 : 480,013.44 = 98,392.96 : x
  2. Step 2: Convert to fraction form
    320,008.96/480,013.44 = 98,392.96/x
  3. Step 3: Cross multiply
    320,008.96x = 480,013.44 × 98,392.96
  4. Step 4: Simplify right side
    320,008.96x = 47,229,943,201.38
  5. Step 5: Solve for x
    x = 47,229,943,201.38/320,008.96
  6. Step 6: Final answer
    x = 147,589.44

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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.