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Finding the Fourth Proportional to 392,051.25, 540,947.30 and 230,847.48

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Solution

The fourth proportional to 392,051.25, 540,947.30 and 230,847.48 is: 318,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,051.25 : 540,947.30 = 230,847.48 : x
  2. Step 2: Convert to fraction form
    392,051.25/540,947.30 = 230,847.48/x
  3. Step 3: Cross multiply
    392,051.25x = 540,947.30 × 230,847.48
  4. Step 4: Simplify right side
    392,051.25x = 124,876,319,863.57
  5. Step 5: Solve for x
    x = 124,876,319,863.57/392,051.25
  6. Step 6: Final answer
    x = 318,520.40

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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.