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Finding the Fourth Proportional to 542,872.81, 814,724.91 and 390,996.93

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Solution

The fourth proportional to 542,872.81, 814,724.91 and 390,996.93 is: 586,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,872.81 : 814,724.91 = 390,996.93 : x
  2. Step 2: Convert to fraction form
    542,872.81/814,724.91 = 390,996.93/x
  3. Step 3: Cross multiply
    542,872.81x = 814,724.91 × 390,996.93
  4. Step 4: Simplify right side
    542,872.81x = 318,554,938,604.53
  5. Step 5: Solve for x
    x = 318,554,938,604.53/542,872.81
  6. Step 6: Final answer
    x = 586,794.79

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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.