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Finding the Fourth Proportional to 525,997, 725,875.86 and 299,642.50

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Solution

The fourth proportional to 525,997, 725,875.86 and 299,642.50 is: 413,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,997 : 725,875.86 = 299,642.50 : x
  2. Step 2: Convert to fraction form
    525,997/725,875.86 = 299,642.50/x
  3. Step 3: Cross multiply
    525,997x = 725,875.86 × 299,642.50
  4. Step 4: Simplify right side
    525,997x = 217,503,257,380.05
  5. Step 5: Solve for x
    x = 217,503,257,380.05/525,997
  6. Step 6: Final answer
    x = 413,506.65

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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.