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Finding the Fourth Proportional to 348,478, 480,825.48 and 205,185.76

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Solution

The fourth proportional to 348,478, 480,825.48 and 205,185.76 is: 283,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,478 : 480,825.48 = 205,185.76 : x
  2. Step 2: Convert to fraction form
    348,478/480,825.48 = 205,185.76/x
  3. Step 3: Cross multiply
    348,478x = 480,825.48 × 205,185.76
  4. Step 4: Simplify right side
    348,478x = 98,658,541,541.16
  5. Step 5: Solve for x
    x = 98,658,541,541.16/348,478
  6. Step 6: Final answer
    x = 283,112.68

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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.