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Finding the Fourth Proportional to 474,811.80, 712,288.08 and 137,855.22

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Solution

The fourth proportional to 474,811.80, 712,288.08 and 137,855.22 is: 206,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,811.80 : 712,288.08 = 137,855.22 : x
  2. Step 2: Convert to fraction form
    474,811.80/712,288.08 = 137,855.22/x
  3. Step 3: Cross multiply
    474,811.80x = 712,288.08 × 137,855.22
  4. Step 4: Simplify right side
    474,811.80x = 98,192,629,971.78
  5. Step 5: Solve for x
    x = 98,192,629,971.78/474,811.80
  6. Step 6: Final answer
    x = 206,803.26

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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.