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Finding the Fourth Proportional to 403,059.84, 555,767.92 and 310,969.36

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Solution

The fourth proportional to 403,059.84, 555,767.92 and 310,969.36 is: 428,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,059.84 : 555,767.92 = 310,969.36 : x
  2. Step 2: Convert to fraction form
    403,059.84/555,767.92 = 310,969.36/x
  3. Step 3: Cross multiply
    403,059.84x = 555,767.92 × 310,969.36
  4. Step 4: Simplify right side
    403,059.84x = 172,826,794,390.93
  5. Step 5: Solve for x
    x = 172,826,794,390.93/403,059.84
  6. Step 6: Final answer
    x = 428,786.94

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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.