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Finding the Fourth Proportional to 320,445.78, 480,634.06 and 107,189.50

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Solution

The fourth proportional to 320,445.78, 480,634.06 and 107,189.50 is: 160,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,445.78 : 480,634.06 = 107,189.50 : x
  2. Step 2: Convert to fraction form
    320,445.78/480,634.06 = 107,189.50/x
  3. Step 3: Cross multiply
    320,445.78x = 480,634.06 × 107,189.50
  4. Step 4: Simplify right side
    320,445.78x = 51,518,927,198.64
  5. Step 5: Solve for x
    x = 51,518,927,198.64/320,445.78
  6. Step 6: Final answer
    x = 160,772.68

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1.5x scale

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.