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Finding the Fourth Proportional to 392,847.58, 542,129.75 and 213,999.58

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Solution

The fourth proportional to 392,847.58, 542,129.75 and 213,999.58 is: 295,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,847.58 : 542,129.75 = 213,999.58 : x
  2. Step 2: Convert to fraction form
    392,847.58/542,129.75 = 213,999.58/x
  3. Step 3: Cross multiply
    392,847.58x = 542,129.75 × 213,999.58
  4. Step 4: Simplify right side
    392,847.58x = 116,015,538,805.51
  5. Step 5: Solve for x
    x = 116,015,538,805.51/392,847.58
  6. Step 6: Final answer
    x = 295,319.47

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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.