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Finding the Fourth Proportional to 392,967.42, 542,295.01 and 214,119.42

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Solution

The fourth proportional to 392,967.42, 542,295.01 and 214,119.42 is: 295,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,967.42 : 542,295.01 = 214,119.42 : x
  2. Step 2: Convert to fraction form
    392,967.42/542,295.01 = 214,119.42/x
  3. Step 3: Cross multiply
    392,967.42x = 542,295.01 × 214,119.42
  4. Step 4: Simplify right side
    392,967.42x = 116,115,893,010.09
  5. Step 5: Solve for x
    x = 116,115,893,010.09/392,967.42
  6. Step 6: Final answer
    x = 295,484.78

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1.5x scale

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.