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Finding the Fourth Proportional to 561,418.44, 842,461.17 and 206,681.57

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Solution

The fourth proportional to 561,418.44, 842,461.17 and 206,681.57 is: 310,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,418.44 : 842,461.17 = 206,681.57 : x
  2. Step 2: Convert to fraction form
    561,418.44/842,461.17 = 206,681.57/x
  3. Step 3: Cross multiply
    561,418.44x = 842,461.17 × 206,681.57
  4. Step 4: Simplify right side
    561,418.44x = 174,121,197,279.64
  5. Step 5: Solve for x
    x = 174,121,197,279.64/561,418.44
  6. Step 6: Final answer
    x = 310,145.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.