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Finding the Fourth Proportional to 642,149.28, 959,318.64 and 415,664.64

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Solution

The fourth proportional to 642,149.28, 959,318.64 and 415,664.64 is: 620,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,149.28 : 959,318.64 = 415,664.64 : x
  2. Step 2: Convert to fraction form
    642,149.28/959,318.64 = 415,664.64/x
  3. Step 3: Cross multiply
    642,149.28x = 959,318.64 × 415,664.64
  4. Step 4: Simplify right side
    642,149.28x = 398,754,837,140.89
  5. Step 5: Solve for x
    x = 398,754,837,140.89/642,149.28
  6. Step 6: Final answer
    x = 620,969.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.