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Finding the Fourth Proportional to 427,713.50, 590,242.38 and 236,720.36

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Solution

The fourth proportional to 427,713.50, 590,242.38 and 236,720.36 is: 326,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,713.50 : 590,242.38 = 236,720.36 : x
  2. Step 2: Convert to fraction form
    427,713.50/590,242.38 = 236,720.36/x
  3. Step 3: Cross multiply
    427,713.50x = 590,242.38 × 236,720.36
  4. Step 4: Simplify right side
    427,713.50x = 139,722,385,729.65
  5. Step 5: Solve for x
    x = 139,722,385,729.65/427,713.50
  6. Step 6: Final answer
    x = 326,672.85

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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.