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Finding the Fourth Proportional to 508,490.89, 701,452.49 and 301,638.96

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Solution

The fourth proportional to 508,490.89, 701,452.49 and 301,638.96 is: 416,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,490.89 : 701,452.49 = 301,638.96 : x
  2. Step 2: Convert to fraction form
    508,490.89/701,452.49 = 301,638.96/x
  3. Step 3: Cross multiply
    508,490.89x = 701,452.49 × 301,638.96
  4. Step 4: Simplify right side
    508,490.89x = 211,585,399,573.01
  5. Step 5: Solve for x
    x = 211,585,399,573.01/508,490.89
  6. Step 6: Final answer
    x = 416,104.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.