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Finding the Fourth Proportional to 348,617.76, 480,932.72 and 205,309.20

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Solution

The fourth proportional to 348,617.76, 480,932.72 and 205,309.20 is: 283,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,617.76 : 480,932.72 = 205,309.20 : x
  2. Step 2: Convert to fraction form
    348,617.76/480,932.72 = 205,309.20/x
  3. Step 3: Cross multiply
    348,617.76x = 480,932.72 × 205,309.20
  4. Step 4: Simplify right side
    348,617.76x = 98,739,911,997.02
  5. Step 5: Solve for x
    x = 98,739,911,997.02/348,617.76
  6. Step 6: Final answer
    x = 283,232.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.