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Finding the Fourth Proportional to 640,309.30, 883,627.16 and 353,829.39

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Solution

The fourth proportional to 640,309.30, 883,627.16 and 353,829.39 is: 488,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,309.30 : 883,627.16 = 353,829.39 : x
  2. Step 2: Convert to fraction form
    640,309.30/883,627.16 = 353,829.39/x
  3. Step 3: Cross multiply
    640,309.30x = 883,627.16 × 353,829.39
  4. Step 4: Simplify right side
    640,309.30x = 312,653,259,010.23
  5. Step 5: Solve for x
    x = 312,653,259,010.23/640,309.30
  6. Step 6: Final answer
    x = 488,284.74

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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.