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Finding the Fourth Proportional to 402,184, 555,013.92 and 223,336

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Solution

The fourth proportional to 402,184, 555,013.92 and 223,336 is: 308,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,184 : 555,013.92 = 223,336 : x
  2. Step 2: Convert to fraction form
    402,184/555,013.92 = 223,336/x
  3. Step 3: Cross multiply
    402,184x = 555,013.92 × 223,336
  4. Step 4: Simplify right side
    402,184x = 123,954,588,837.12
  5. Step 5: Solve for x
    x = 123,954,588,837.12/402,184
  6. Step 6: Final answer
    x = 308,203.68

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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.