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Finding the Fourth Proportional to 402,180, 555,008.40 and 223,332

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Solution

The fourth proportional to 402,180, 555,008.40 and 223,332 is: 308,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,180 : 555,008.40 = 223,332 : x
  2. Step 2: Convert to fraction form
    402,180/555,008.40 = 223,332/x
  3. Step 3: Cross multiply
    402,180x = 555,008.40 × 223,332
  4. Step 4: Simplify right side
    402,180x = 123,951,135,988.80
  5. Step 5: Solve for x
    x = 123,951,135,988.80/402,180
  6. Step 6: Final answer
    x = 308,198.16

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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.