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Finding the Fourth Proportional to 413,689.56, 620,381.07 and 147,379.38

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Solution

The fourth proportional to 413,689.56, 620,381.07 and 147,379.38 is: 221,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,689.56 : 620,381.07 = 147,379.38 : x
  2. Step 2: Convert to fraction form
    413,689.56/620,381.07 = 147,379.38/x
  3. Step 3: Cross multiply
    413,689.56x = 620,381.07 × 147,379.38
  4. Step 4: Simplify right side
    413,689.56x = 91,431,377,460.34
  5. Step 5: Solve for x
    x = 91,431,377,460.34/413,689.56
  6. Step 6: Final answer
    x = 221,014.47

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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.