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Finding the Fourth Proportional to 475,990.28, 713,013.42 and 265,740.20

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Solution

The fourth proportional to 475,990.28, 713,013.42 and 265,740.20 is: 398,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,990.28 : 713,013.42 = 265,740.20 : x
  2. Step 2: Convert to fraction form
    475,990.28/713,013.42 = 265,740.20/x
  3. Step 3: Cross multiply
    475,990.28x = 713,013.42 × 265,740.20
  4. Step 4: Simplify right side
    475,990.28x = 189,476,328,833.48
  5. Step 5: Solve for x
    x = 189,476,328,833.48/475,990.28
  6. Step 6: Final answer
    x = 398,067.64

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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.