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Finding the Fourth Proportional to 320,076.08, 480,182.16 and 109,657.52

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Solution

The fourth proportional to 320,076.08, 480,182.16 and 109,657.52 is: 164,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,076.08 : 480,182.16 = 109,657.52 : x
  2. Step 2: Convert to fraction form
    320,076.08/480,182.16 = 109,657.52/x
  3. Step 3: Cross multiply
    320,076.08x = 480,182.16 × 109,657.52
  4. Step 4: Simplify right side
    320,076.08x = 52,655,584,813.84
  5. Step 5: Solve for x
    x = 52,655,584,813.84/320,076.08
  6. Step 6: Final answer
    x = 164,509.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.