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Finding the Fourth Proportional to 400,719.96, 601,384.62 and 148,239.24

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Solution

The fourth proportional to 400,719.96, 601,384.62 and 148,239.24 is: 222,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,719.96 : 601,384.62 = 148,239.24 : x
  2. Step 2: Convert to fraction form
    400,719.96/601,384.62 = 148,239.24/x
  3. Step 3: Cross multiply
    400,719.96x = 601,384.62 × 148,239.24
  4. Step 4: Simplify right side
    400,719.96x = 89,148,799,016.49
  5. Step 5: Solve for x
    x = 89,148,799,016.49/400,719.96
  6. Step 6: Final answer
    x = 222,471.57

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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.