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Finding the Fourth Proportional to 312,715.94, 431,594.32 and 198,005.25

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Solution

The fourth proportional to 312,715.94, 431,594.32 and 198,005.25 is: 273,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,715.94 : 431,594.32 = 198,005.25 : x
  2. Step 2: Convert to fraction form
    312,715.94/431,594.32 = 198,005.25/x
  3. Step 3: Cross multiply
    312,715.94x = 431,594.32 × 198,005.25
  4. Step 4: Simplify right side
    312,715.94x = 85,457,941,230.18
  5. Step 5: Solve for x
    x = 85,457,941,230.18/312,715.94
  6. Step 6: Final answer
    x = 273,276.58

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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.