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Finding the Fourth Proportional to 413,503.67, 620,343.78 and 143,640.17

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Solution

The fourth proportional to 413,503.67, 620,343.78 and 143,640.17 is: 215,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,503.67 : 620,343.78 = 143,640.17 : x
  2. Step 2: Convert to fraction form
    413,503.67/620,343.78 = 143,640.17/x
  3. Step 3: Cross multiply
    413,503.67x = 620,343.78 × 143,640.17
  4. Step 4: Simplify right side
    413,503.67x = 89,106,282,197.72
  5. Step 5: Solve for x
    x = 89,106,282,197.72/413,503.67
  6. Step 6: Final answer
    x = 215,490.91

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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.