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Finding the Fourth Proportional to 320,224.32, 480,388.68 and 98,608.32

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Solution

The fourth proportional to 320,224.32, 480,388.68 and 98,608.32 is: 147,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,224.32 : 480,388.68 = 98,608.32 : x
  2. Step 2: Convert to fraction form
    320,224.32/480,388.68 = 98,608.32/x
  3. Step 3: Cross multiply
    320,224.32x = 480,388.68 × 98,608.32
  4. Step 4: Simplify right side
    320,224.32x = 47,370,320,681.82
  5. Step 5: Solve for x
    x = 47,370,320,681.82/320,224.32
  6. Step 6: Final answer
    x = 147,928.55

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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.