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Finding the Fourth Proportional to 420,833.78, 631,252.04 and 105,290.69

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Solution

The fourth proportional to 420,833.78, 631,252.04 and 105,290.69 is: 157,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,833.78 : 631,252.04 = 105,290.69 : x
  2. Step 2: Convert to fraction form
    420,833.78/631,252.04 = 105,290.69/x
  3. Step 3: Cross multiply
    420,833.78x = 631,252.04 × 105,290.69
  4. Step 4: Simplify right side
    420,833.78x = 66,464,959,172.79
  5. Step 5: Solve for x
    x = 66,464,959,172.79/420,833.78
  6. Step 6: Final answer
    x = 157,936.37

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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.