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Finding the Fourth Proportional to 525,996, 725,874.48 and 299,641.50

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Solution

The fourth proportional to 525,996, 725,874.48 and 299,641.50 is: 413,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,996 : 725,874.48 = 299,641.50 : x
  2. Step 2: Convert to fraction form
    525,996/725,874.48 = 299,641.50/x
  3. Step 3: Cross multiply
    525,996x = 725,874.48 × 299,641.50
  4. Step 4: Simplify right side
    525,996x = 217,502,117,998.92
  5. Step 5: Solve for x
    x = 217,502,117,998.92/525,996
  6. Step 6: Final answer
    x = 413,505.27

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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.