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Finding the Fourth Proportional to 348,449.90, 480,802.57 and 205,238.45

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Solution

The fourth proportional to 348,449.90, 480,802.57 and 205,238.45 is: 283,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,449.90 : 480,802.57 = 205,238.45 : x
  2. Step 2: Convert to fraction form
    348,449.90/480,802.57 = 205,238.45/x
  3. Step 3: Cross multiply
    348,449.90x = 480,802.57 × 205,238.45
  4. Step 4: Simplify right side
    348,449.90x = 98,679,174,911.73
  5. Step 5: Solve for x
    x = 98,679,174,911.73/348,449.90
  6. Step 6: Final answer
    x = 283,194.73

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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.