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Finding the Fourth Proportional to 402,698.96, 555,731.40 and 221,418.32

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Solution

The fourth proportional to 402,698.96, 555,731.40 and 221,418.32 is: 305,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,698.96 : 555,731.40 = 221,418.32 : x
  2. Step 2: Convert to fraction form
    402,698.96/555,731.40 = 221,418.32/x
  3. Step 3: Cross multiply
    402,698.96x = 555,731.40 × 221,418.32
  4. Step 4: Simplify right side
    402,698.96x = 123,049,112,959.25
  5. Step 5: Solve for x
    x = 123,049,112,959.25/402,698.96
  6. Step 6: Final answer
    x = 305,561.04

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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.