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Finding the Fourth Proportional to 392,886, 542,182.68 and 214,038

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Solution

The fourth proportional to 392,886, 542,182.68 and 214,038 is: 295,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,886 : 542,182.68 = 214,038 : x
  2. Step 2: Convert to fraction form
    392,886/542,182.68 = 214,038/x
  3. Step 3: Cross multiply
    392,886x = 542,182.68 × 214,038
  4. Step 4: Simplify right side
    392,886x = 116,047,696,461.84
  5. Step 5: Solve for x
    x = 116,047,696,461.84/392,886
  6. Step 6: Final answer
    x = 295,372.44

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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.