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Finding the Fourth Proportional to 348,053.60, 522,080.40 and 259,480.10

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Solution

The fourth proportional to 348,053.60, 522,080.40 and 259,480.10 is: 389,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,053.60 : 522,080.40 = 259,480.10 : x
  2. Step 2: Convert to fraction form
    348,053.60/522,080.40 = 259,480.10/x
  3. Step 3: Cross multiply
    348,053.60x = 522,080.40 × 259,480.10
  4. Step 4: Simplify right side
    348,053.60x = 135,469,474,400.04
  5. Step 5: Solve for x
    x = 135,469,474,400.04/348,053.60
  6. Step 6: Final answer
    x = 389,220.15

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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.