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Finding the Fourth Proportional to 392,914.24, 542,225.28 and 214,066.24

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Solution

The fourth proportional to 392,914.24, 542,225.28 and 214,066.24 is: 295,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,914.24 : 542,225.28 = 214,066.24 : x
  2. Step 2: Convert to fraction form
    392,914.24/542,225.28 = 214,066.24/x
  3. Step 3: Cross multiply
    392,914.24x = 542,225.28 × 214,066.24
  4. Step 4: Simplify right side
    392,914.24x = 116,072,126,922.55
  5. Step 5: Solve for x
    x = 116,072,126,922.55/392,914.24
  6. Step 6: Final answer
    x = 295,413.39

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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.