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Finding the Fourth Proportional to 392,868, 542,157.84 and 214,020

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Solution

The fourth proportional to 392,868, 542,157.84 and 214,020 is: 295,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,868 : 542,157.84 = 214,020 : x
  2. Step 2: Convert to fraction form
    392,868/542,157.84 = 214,020/x
  3. Step 3: Cross multiply
    392,868x = 542,157.84 × 214,020
  4. Step 4: Simplify right side
    392,868x = 116,032,620,916.80
  5. Step 5: Solve for x
    x = 116,032,620,916.80/392,868
  6. Step 6: Final answer
    x = 295,347.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.