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Finding the Fourth Proportional to 542,283.51, 813,432.18 and 205,233.66

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Solution

The fourth proportional to 542,283.51, 813,432.18 and 205,233.66 is: 307,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,283.51 : 813,432.18 = 205,233.66 : x
  2. Step 2: Convert to fraction form
    542,283.51/813,432.18 = 205,233.66/x
  3. Step 3: Cross multiply
    542,283.51x = 813,432.18 × 205,233.66
  4. Step 4: Simplify right side
    542,283.51x = 166,943,664,232.81
  5. Step 5: Solve for x
    x = 166,943,664,232.81/542,283.51
  6. Step 6: Final answer
    x = 307,853.11

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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.