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Finding the Fourth Proportional to 640,774.22, 959,410.47 and 461,039.27

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Solution

The fourth proportional to 640,774.22, 959,410.47 and 461,039.27 is: 690,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,774.22 : 959,410.47 = 461,039.27 : x
  2. Step 2: Convert to fraction form
    640,774.22/959,410.47 = 461,039.27/x
  3. Step 3: Cross multiply
    640,774.22x = 959,410.47 × 461,039.27
  4. Step 4: Simplify right side
    640,774.22x = 442,325,902,349.34
  5. Step 5: Solve for x
    x = 442,325,902,349.34/640,774.22
  6. Step 6: Final answer
    x = 690,299.16

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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.