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Finding the Fourth Proportional to 418,266.98, 577,206.42 and 236,978.56

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Solution

The fourth proportional to 418,266.98, 577,206.42 and 236,978.56 is: 327,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,266.98 : 577,206.42 = 236,978.56 : x
  2. Step 2: Convert to fraction form
    418,266.98/577,206.42 = 236,978.56/x
  3. Step 3: Cross multiply
    418,266.98x = 577,206.42 × 236,978.56
  4. Step 4: Simplify right side
    418,266.98x = 136,785,546,234.36
  5. Step 5: Solve for x
    x = 136,785,546,234.36/418,266.98
  6. Step 6: Final answer
    x = 327,029.27

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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.