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Finding the Fourth Proportional to 410,405.28, 566,594.88 and 312,843.36

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Solution

The fourth proportional to 410,405.28, 566,594.88 and 312,843.36 is: 431,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,405.28 : 566,594.88 = 312,843.36 : x
  2. Step 2: Convert to fraction form
    410,405.28/566,594.88 = 312,843.36/x
  3. Step 3: Cross multiply
    410,405.28x = 566,594.88 × 312,843.36
  4. Step 4: Simplify right side
    410,405.28x = 177,255,446,018.00
  5. Step 5: Solve for x
    x = 177,255,446,018.00/410,405.28
  6. Step 6: Final answer
    x = 431,903.42

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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.