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Finding the Fourth Proportional to 348,377.76, 480,777.12 and 205,143.84

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Solution

The fourth proportional to 348,377.76, 480,777.12 and 205,143.84 is: 283,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,377.76 : 480,777.12 = 205,143.84 : x
  2. Step 2: Convert to fraction form
    348,377.76/480,777.12 = 205,143.84/x
  3. Step 3: Cross multiply
    348,377.76x = 480,777.12 × 205,143.84
  4. Step 4: Simplify right side
    348,377.76x = 98,628,464,580.94
  5. Step 5: Solve for x
    x = 98,628,464,580.94/348,377.76
  6. Step 6: Final answer
    x = 283,107.81

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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.