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Finding the Fourth Proportional to 525,391.92, 725,058.65 and 310,716

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Solution

The fourth proportional to 525,391.92, 725,058.65 and 310,716 is: 428,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,391.92 : 725,058.65 = 310,716 : x
  2. Step 2: Convert to fraction form
    525,391.92/725,058.65 = 310,716/x
  3. Step 3: Cross multiply
    525,391.92x = 725,058.65 × 310,716
  4. Step 4: Simplify right side
    525,391.92x = 225,287,323,493.40
  5. Step 5: Solve for x
    x = 225,287,323,493.40/525,391.92
  6. Step 6: Final answer
    x = 428,798.61

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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.