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Finding the Fourth Proportional to 413,724.39, 620,686.63 and 143,813.57

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Solution

The fourth proportional to 413,724.39, 620,686.63 and 143,813.57 is: 215,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,724.39 : 620,686.63 = 143,813.57 : x
  2. Step 2: Convert to fraction form
    413,724.39/620,686.63 = 143,813.57/x
  3. Step 3: Cross multiply
    413,724.39x = 620,686.63 × 143,813.57
  4. Step 4: Simplify right side
    413,724.39x = 89,263,157,187.90
  5. Step 5: Solve for x
    x = 89,263,157,187.90/413,724.39
  6. Step 6: Final answer
    x = 215,755.12

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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.