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Finding the Fourth Proportional to 494,149.53, 681,999.48 and 312,878.28

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Solution

The fourth proportional to 494,149.53, 681,999.48 and 312,878.28 is: 431,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,149.53 : 681,999.48 = 312,878.28 : x
  2. Step 2: Convert to fraction form
    494,149.53/681,999.48 = 312,878.28/x
  3. Step 3: Cross multiply
    494,149.53x = 681,999.48 × 312,878.28
  4. Step 4: Simplify right side
    494,149.53x = 213,382,824,263.29
  5. Step 5: Solve for x
    x = 213,382,824,263.29/494,149.53
  6. Step 6: Final answer
    x = 431,818.33

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1.5x scale

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.