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Finding the Fourth Proportional to 408,282.63, 612,548.48 and 208,743.10

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Solution

The fourth proportional to 408,282.63, 612,548.48 and 208,743.10 is: 313,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,282.63 : 612,548.48 = 208,743.10 : x
  2. Step 2: Convert to fraction form
    408,282.63/612,548.48 = 208,743.10/x
  3. Step 3: Cross multiply
    408,282.63x = 612,548.48 × 208,743.10
  4. Step 4: Simplify right side
    408,282.63x = 127,865,268,154.59
  5. Step 5: Solve for x
    x = 127,865,268,154.59/408,282.63
  6. Step 6: Final answer
    x = 313,178.32

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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.