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Finding the Fourth Proportional to 413,755.12, 620,681.28 and 147,553.48

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Solution

The fourth proportional to 413,755.12, 620,681.28 and 147,553.48 is: 221,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,755.12 : 620,681.28 = 147,553.48 : x
  2. Step 2: Convert to fraction form
    413,755.12/620,681.28 = 147,553.48/x
  3. Step 3: Cross multiply
    413,755.12x = 620,681.28 × 147,553.48
  4. Step 4: Simplify right side
    413,755.12x = 91,583,682,834.85
  5. Step 5: Solve for x
    x = 91,583,682,834.85/413,755.12
  6. Step 6: Final answer
    x = 221,347.55

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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.