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Finding the Fourth Proportional to 387,286.42, 581,157 and 162,629.56

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Solution

The fourth proportional to 387,286.42, 581,157 and 162,629.56 is: 244,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,286.42 : 581,157 = 162,629.56 : x
  2. Step 2: Convert to fraction form
    387,286.42/581,157 = 162,629.56/x
  3. Step 3: Cross multiply
    387,286.42x = 581,157 × 162,629.56
  4. Step 4: Simplify right side
    387,286.42x = 94,513,307,200.92
  5. Step 5: Solve for x
    x = 94,513,307,200.92/387,286.42
  6. Step 6: Final answer
    x = 244,039.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.