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Finding the Fourth Proportional to 413,209.80, 618,648.30 and 401,545.80

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Solution

The fourth proportional to 413,209.80, 618,648.30 and 401,545.80 is: 601,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,209.80 : 618,648.30 = 401,545.80 : x
  2. Step 2: Convert to fraction form
    413,209.80/618,648.30 = 401,545.80/x
  3. Step 3: Cross multiply
    413,209.80x = 618,648.30 × 401,545.80
  4. Step 4: Simplify right side
    413,209.80x = 248,415,626,542.14
  5. Step 5: Solve for x
    x = 248,415,626,542.14/413,209.80
  6. Step 6: Final answer
    x = 601,185.22

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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.