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Finding the Fourth Proportional to 400,437, 552,602.97 and 219,149.01

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Solution

The fourth proportional to 400,437, 552,602.97 and 219,149.01 is: 302,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,437 : 552,602.97 = 219,149.01 : x
  2. Step 2: Convert to fraction form
    400,437/552,602.97 = 219,149.01/x
  3. Step 3: Cross multiply
    400,437x = 552,602.97 × 219,149.01
  4. Step 4: Simplify right side
    400,437x = 121,102,393,798.56
  5. Step 5: Solve for x
    x = 121,102,393,798.56/400,437
  6. Step 6: Final answer
    x = 302,425.58

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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.