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Finding the Fourth Proportional to 525,390.92, 725,057.27 and 310,715

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Solution

The fourth proportional to 525,390.92, 725,057.27 and 310,715 is: 428,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,390.92 : 725,057.27 = 310,715 : x
  2. Step 2: Convert to fraction form
    525,390.92/725,057.27 = 310,715/x
  3. Step 3: Cross multiply
    525,390.92x = 725,057.27 × 310,715
  4. Step 4: Simplify right side
    525,390.92x = 225,286,169,648.05
  5. Step 5: Solve for x
    x = 225,286,169,648.05/525,390.92
  6. Step 6: Final answer
    x = 428,797.23

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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.