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Finding the Fourth Proportional to 331,623, 457,642.98 and 180,723.24

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Solution

The fourth proportional to 331,623, 457,642.98 and 180,723.24 is: 249,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,623 : 457,642.98 = 180,723.24 : x
  2. Step 2: Convert to fraction form
    331,623/457,642.98 = 180,723.24/x
  3. Step 3: Cross multiply
    331,623x = 457,642.98 × 180,723.24
  4. Step 4: Simplify right side
    331,623x = 82,706,722,108.86
  5. Step 5: Solve for x
    x = 82,706,722,108.86/331,623
  6. Step 6: Final answer
    x = 249,399.84

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1.5x scale

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.