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Finding the Fourth Proportional to 320,305.64, 480,083.18 and 130,647.64

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Solution

The fourth proportional to 320,305.64, 480,083.18 and 130,647.64 is: 195,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,305.64 : 480,083.18 = 130,647.64 : x
  2. Step 2: Convert to fraction form
    320,305.64/480,083.18 = 130,647.64/x
  3. Step 3: Cross multiply
    320,305.64x = 480,083.18 × 130,647.64
  4. Step 4: Simplify right side
    320,305.64x = 62,721,734,470.70
  5. Step 5: Solve for x
    x = 62,721,734,470.70/320,305.64
  6. Step 6: Final answer
    x = 195,818.39

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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.