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Finding the Fourth Proportional to 392,962.78, 542,288.64 and 214,114.78

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Solution

The fourth proportional to 392,962.78, 542,288.64 and 214,114.78 is: 295,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,962.78 : 542,288.64 = 214,114.78 : x
  2. Step 2: Convert to fraction form
    392,962.78/542,288.64 = 214,114.78/x
  3. Step 3: Cross multiply
    392,962.78x = 542,288.64 × 214,114.78
  4. Step 4: Simplify right side
    392,962.78x = 116,112,014,330.89
  5. Step 5: Solve for x
    x = 116,112,014,330.89/392,962.78
  6. Step 6: Final answer
    x = 295,478.40

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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.