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Finding the Fourth Proportional to 307,448, 424,628.16 and 206,671.04

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Solution

The fourth proportional to 307,448, 424,628.16 and 206,671.04 is: 285,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,448 : 424,628.16 = 206,671.04 : x
  2. Step 2: Convert to fraction form
    307,448/424,628.16 = 206,671.04/x
  3. Step 3: Cross multiply
    307,448x = 424,628.16 × 206,671.04
  4. Step 4: Simplify right side
    307,448x = 87,758,343,440.49
  5. Step 5: Solve for x
    x = 87,758,343,440.49/307,448
  6. Step 6: Final answer
    x = 285,441.26

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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.