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Finding the Fourth Proportional to 312,714.94, 431,592.94 and 198,004.25

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Solution

The fourth proportional to 312,714.94, 431,592.94 and 198,004.25 is: 273,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,714.94 : 431,592.94 = 198,004.25 : x
  2. Step 2: Convert to fraction form
    312,714.94/431,592.94 = 198,004.25/x
  3. Step 3: Cross multiply
    312,714.94x = 431,592.94 × 198,004.25
  4. Step 4: Simplify right side
    312,714.94x = 85,457,236,390.00
  5. Step 5: Solve for x
    x = 85,457,236,390.00/312,714.94
  6. Step 6: Final answer
    x = 273,275.20

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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.