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Finding the Fourth Proportional to 259,218.64, 388,979.16 and 140,902.48

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Solution

The fourth proportional to 259,218.64, 388,979.16 and 140,902.48 is: 211,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,218.64 : 388,979.16 = 140,902.48 : x
  2. Step 2: Convert to fraction form
    259,218.64/388,979.16 = 140,902.48/x
  3. Step 3: Cross multiply
    259,218.64x = 388,979.16 × 140,902.48
  4. Step 4: Simplify right side
    259,218.64x = 54,808,128,312.32
  5. Step 5: Solve for x
    x = 54,808,128,312.32/259,218.64
  6. Step 6: Final answer
    x = 211,435.91

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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.