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Finding the Fourth Proportional to 400,435, 552,600.21 and 219,147.01

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Solution

The fourth proportional to 400,435, 552,600.21 and 219,147.01 is: 302,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,435 : 552,600.21 = 219,147.01 : x
  2. Step 2: Convert to fraction form
    400,435/552,600.21 = 219,147.01/x
  3. Step 3: Cross multiply
    400,435x = 552,600.21 × 219,147.01
  4. Step 4: Simplify right side
    400,435x = 121,100,683,746.87
  5. Step 5: Solve for x
    x = 121,100,683,746.87/400,435
  6. Step 6: Final answer
    x = 302,422.82

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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.