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Finding the Fourth Proportional to 542,982.64, 814,715.88 and 210,584.56

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Solution

The fourth proportional to 542,982.64, 814,715.88 and 210,584.56 is: 315,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,982.64 : 814,715.88 = 210,584.56 : x
  2. Step 2: Convert to fraction form
    542,982.64/814,715.88 = 210,584.56/x
  3. Step 3: Cross multiply
    542,982.64x = 814,715.88 × 210,584.56
  4. Step 4: Simplify right side
    542,982.64x = 171,566,585,114.81
  5. Step 5: Solve for x
    x = 171,566,585,114.81/542,982.64
  6. Step 6: Final answer
    x = 315,970.66

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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.