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Finding the Fourth Proportional to 413,636.70, 620,455.05 and 371,646.30

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Solution

The fourth proportional to 413,636.70, 620,455.05 and 371,646.30 is: 557,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,636.70 : 620,455.05 = 371,646.30 : x
  2. Step 2: Convert to fraction form
    413,636.70/620,455.05 = 371,646.30/x
  3. Step 3: Cross multiply
    413,636.70x = 620,455.05 × 371,646.30
  4. Step 4: Simplify right side
    413,636.70x = 230,589,823,648.82
  5. Step 5: Solve for x
    x = 230,589,823,648.82/413,636.70
  6. Step 6: Final answer
    x = 557,469.45

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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.