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Finding the Fourth Proportional to 525,771.21, 725,564.61 and 284,053.65

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Solution

The fourth proportional to 525,771.21, 725,564.61 and 284,053.65 is: 391,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,771.21 : 725,564.61 = 284,053.65 : x
  2. Step 2: Convert to fraction form
    525,771.21/725,564.61 = 284,053.65/x
  3. Step 3: Cross multiply
    525,771.21x = 725,564.61 × 284,053.65
  4. Step 4: Simplify right side
    525,771.21x = 206,099,275,781.33
  5. Step 5: Solve for x
    x = 206,099,275,781.33/525,771.21
  6. Step 6: Final answer
    x = 391,994.22

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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.