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Finding the Fourth Proportional to 401,274.74, 601,737.05 and 151,781.78

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Solution

The fourth proportional to 401,274.74, 601,737.05 and 151,781.78 is: 227,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,274.74 : 601,737.05 = 151,781.78 : x
  2. Step 2: Convert to fraction form
    401,274.74/601,737.05 = 151,781.78/x
  3. Step 3: Cross multiply
    401,274.74x = 601,737.05 × 151,781.78
  4. Step 4: Simplify right side
    401,274.74x = 91,332,722,424.75
  5. Step 5: Solve for x
    x = 91,332,722,424.75/401,274.74
  6. Step 6: Final answer
    x = 227,606.46

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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.