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Finding the Fourth Proportional to 501,020.80, 691,360.32 and 299,812.48

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Solution

The fourth proportional to 501,020.80, 691,360.32 and 299,812.48 is: 413,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,020.80 : 691,360.32 = 299,812.48 : x
  2. Step 2: Convert to fraction form
    501,020.80/691,360.32 = 299,812.48/x
  3. Step 3: Cross multiply
    501,020.80x = 691,360.32 × 299,812.48
  4. Step 4: Simplify right side
    501,020.80x = 207,278,452,112.79
  5. Step 5: Solve for x
    x = 207,278,452,112.79/501,020.80
  6. Step 6: Final answer
    x = 413,712.27

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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.