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Finding the Fourth Proportional to 294,278.88, 406,076.80 and 165,187.80

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Solution

The fourth proportional to 294,278.88, 406,076.80 and 165,187.80 is: 227,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,278.88 : 406,076.80 = 165,187.80 : x
  2. Step 2: Convert to fraction form
    294,278.88/406,076.80 = 165,187.80/x
  3. Step 3: Cross multiply
    294,278.88x = 406,076.80 × 165,187.80
  4. Step 4: Simplify right side
    294,278.88x = 67,078,933,223.04
  5. Step 5: Solve for x
    x = 67,078,933,223.04/294,278.88
  6. Step 6: Final answer
    x = 227,943.42

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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.