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Finding the Fourth Proportional to 392,965.78, 542,292.78 and 214,117.78

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Solution

The fourth proportional to 392,965.78, 542,292.78 and 214,117.78 is: 295,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,965.78 : 542,292.78 = 214,117.78 : x
  2. Step 2: Convert to fraction form
    392,965.78/542,292.78 = 214,117.78/x
  3. Step 3: Cross multiply
    392,965.78x = 542,292.78 × 214,117.78
  4. Step 4: Simplify right side
    392,965.78x = 116,114,526,163.63
  5. Step 5: Solve for x
    x = 116,114,526,163.63/392,965.78
  6. Step 6: Final answer
    x = 295,482.54

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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.