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Finding the Fourth Proportional to 525,711.06, 725,480.55 and 299,356.56

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Solution

The fourth proportional to 525,711.06, 725,480.55 and 299,356.56 is: 413,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,711.06 : 725,480.55 = 299,356.56 : x
  2. Step 2: Convert to fraction form
    525,711.06/725,480.55 = 299,356.56/x
  3. Step 3: Cross multiply
    525,711.06x = 725,480.55 × 299,356.56
  4. Step 4: Simplify right side
    525,711.06x = 217,177,361,794.91
  5. Step 5: Solve for x
    x = 217,177,361,794.91/525,711.06
  6. Step 6: Final answer
    x = 413,111.65

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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.