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Finding the Fourth Proportional to 542,802.20, 813,620.10 and 205,712.60

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Solution

The fourth proportional to 542,802.20, 813,620.10 and 205,712.60 is: 308,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,802.20 : 813,620.10 = 205,712.60 : x
  2. Step 2: Convert to fraction form
    542,802.20/813,620.10 = 205,712.60/x
  3. Step 3: Cross multiply
    542,802.20x = 813,620.10 × 205,712.60
  4. Step 4: Simplify right side
    542,802.20x = 167,371,906,183.26
  5. Step 5: Solve for x
    x = 167,371,906,183.26/542,802.20
  6. Step 6: Final answer
    x = 308,347.88

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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.