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Finding the Fourth Proportional to 640,489.26, 883,920.96 and 354,003.16

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Solution

The fourth proportional to 640,489.26, 883,920.96 and 354,003.16 is: 488,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,489.26 : 883,920.96 = 354,003.16 : x
  2. Step 2: Convert to fraction form
    640,489.26/883,920.96 = 354,003.16/x
  3. Step 3: Cross multiply
    640,489.26x = 883,920.96 × 354,003.16
  4. Step 4: Simplify right side
    640,489.26x = 312,910,813,030.23
  5. Step 5: Solve for x
    x = 312,910,813,030.23/640,489.26
  6. Step 6: Final answer
    x = 488,549.66

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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.