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Finding the Fourth Proportional to 465,702, 642,668.76 and 253,734

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Solution

The fourth proportional to 465,702, 642,668.76 and 253,734 is: 350,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,702 : 642,668.76 = 253,734 : x
  2. Step 2: Convert to fraction form
    465,702/642,668.76 = 253,734/x
  3. Step 3: Cross multiply
    465,702x = 642,668.76 × 253,734
  4. Step 4: Simplify right side
    465,702x = 163,066,915,149.84
  5. Step 5: Solve for x
    x = 163,066,915,149.84/465,702
  6. Step 6: Final answer
    x = 350,152.92

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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.