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Finding the Fourth Proportional to 640,490.26, 883,922.34 and 354,004.16

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Solution

The fourth proportional to 640,490.26, 883,922.34 and 354,004.16 is: 488,551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,490.26 : 883,922.34 = 354,004.16 : x
  2. Step 2: Convert to fraction form
    640,490.26/883,922.34 = 354,004.16/x
  3. Step 3: Cross multiply
    640,490.26x = 883,922.34 × 354,004.16
  4. Step 4: Simplify right side
    640,490.26x = 312,912,185,476.93
  5. Step 5: Solve for x
    x = 312,912,185,476.93/640,490.26
  6. Step 6: Final answer
    x = 488,551.04

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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.