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Finding the Fourth Proportional to 525,745, 725,409.30 and 310,894.12

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Solution

The fourth proportional to 525,745, 725,409.30 and 310,894.12 is: 428,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,745 : 725,409.30 = 310,894.12 : x
  2. Step 2: Convert to fraction form
    525,745/725,409.30 = 310,894.12/x
  3. Step 3: Cross multiply
    525,745x = 725,409.30 × 310,894.12
  4. Step 4: Simplify right side
    525,745x = 225,525,485,963.32
  5. Step 5: Solve for x
    x = 225,525,485,963.32/525,745
  6. Step 6: Final answer
    x = 428,963.63

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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.