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Finding the Fourth Proportional to 561,997.87, 842,602.53 and 206,966.36

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Solution

The fourth proportional to 561,997.87, 842,602.53 and 206,966.36 is: 310,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,997.87 : 842,602.53 = 206,966.36 : x
  2. Step 2: Convert to fraction form
    561,997.87/842,602.53 = 206,966.36/x
  3. Step 3: Cross multiply
    561,997.87x = 842,602.53 × 206,966.36
  4. Step 4: Simplify right side
    561,997.87x = 174,390,381,443.52
  5. Step 5: Solve for x
    x = 174,390,381,443.52/561,997.87
  6. Step 6: Final answer
    x = 310,304.35

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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.