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Finding the Fourth Proportional to 307,212.16, 424,032.96 and 200,076.16

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Solution

The fourth proportional to 307,212.16, 424,032.96 and 200,076.16 is: 276,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,212.16 : 424,032.96 = 200,076.16 : x
  2. Step 2: Convert to fraction form
    307,212.16/424,032.96 = 200,076.16/x
  3. Step 3: Cross multiply
    307,212.16x = 424,032.96 × 200,076.16
  4. Step 4: Simplify right side
    307,212.16x = 84,838,886,350.23
  5. Step 5: Solve for x
    x = 84,838,886,350.23/307,212.16
  6. Step 6: Final answer
    x = 276,157.32

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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.