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Finding the Fourth Proportional to 413,215.80, 618,657.30 and 401,551.80

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Solution

The fourth proportional to 413,215.80, 618,657.30 and 401,551.80 is: 601,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,215.80 : 618,657.30 = 401,551.80 : x
  2. Step 2: Convert to fraction form
    413,215.80/618,657.30 = 401,551.80/x
  3. Step 3: Cross multiply
    413,215.80x = 618,657.30 × 401,551.80
  4. Step 4: Simplify right side
    413,215.80x = 248,422,952,398.14
  5. Step 5: Solve for x
    x = 248,422,952,398.14/413,215.80
  6. Step 6: Final answer
    x = 601,194.22

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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.