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Finding the Fourth Proportional to 320,641.88, 480,957.94 and 110,281.64

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Solution

The fourth proportional to 320,641.88, 480,957.94 and 110,281.64 is: 165,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,641.88 : 480,957.94 = 110,281.64 : x
  2. Step 2: Convert to fraction form
    320,641.88/480,957.94 = 110,281.64/x
  3. Step 3: Cross multiply
    320,641.88x = 480,957.94 × 110,281.64
  4. Step 4: Simplify right side
    320,641.88x = 53,040,830,394.22
  5. Step 5: Solve for x
    x = 53,040,830,394.22/320,641.88
  6. Step 6: Final answer
    x = 165,420.78

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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.