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Finding the Fourth Proportional to 561,812.31, 842,802.35 and 206,799.35

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Solution

The fourth proportional to 561,812.31, 842,802.35 and 206,799.35 is: 310,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,812.31 : 842,802.35 = 206,799.35 : x
  2. Step 2: Convert to fraction form
    561,812.31/842,802.35 = 206,799.35/x
  3. Step 3: Cross multiply
    561,812.31x = 842,802.35 × 206,799.35
  4. Step 4: Simplify right side
    561,812.31x = 174,290,972,910.46
  5. Step 5: Solve for x
    x = 174,290,972,910.46/561,812.31
  6. Step 6: Final answer
    x = 310,229.89

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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.