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Finding the Fourth Proportional to 392,967.92, 542,295.70 and 214,119.92

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Solution

The fourth proportional to 392,967.92, 542,295.70 and 214,119.92 is: 295,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,967.92 : 542,295.70 = 214,119.92 : x
  2. Step 2: Convert to fraction form
    392,967.92/542,295.70 = 214,119.92/x
  3. Step 3: Cross multiply
    392,967.92x = 542,295.70 × 214,119.92
  4. Step 4: Simplify right side
    392,967.92x = 116,116,311,900.34
  5. Step 5: Solve for x
    x = 116,116,311,900.34/392,967.92
  6. Step 6: Final answer
    x = 295,485.47

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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.