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Finding the Fourth Proportional to 320,098, 480,171.72 and 95,441.32

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Solution

The fourth proportional to 320,098, 480,171.72 and 95,441.32 is: 143,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,098 : 480,171.72 = 95,441.32 : x
  2. Step 2: Convert to fraction form
    320,098/480,171.72 = 95,441.32/x
  3. Step 3: Cross multiply
    320,098x = 480,171.72 × 95,441.32
  4. Step 4: Simplify right side
    320,098x = 45,828,222,783.47
  5. Step 5: Solve for x
    x = 45,828,222,783.47/320,098
  6. Step 6: Final answer
    x = 143,169.35

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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.