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Finding the Fourth Proportional to 353,778.43, 488,222.25 and 200,802.31

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Solution

The fourth proportional to 353,778.43, 488,222.25 and 200,802.31 is: 277,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,778.43 : 488,222.25 = 200,802.31 : x
  2. Step 2: Convert to fraction form
    353,778.43/488,222.25 = 200,802.31/x
  3. Step 3: Cross multiply
    353,778.43x = 488,222.25 × 200,802.31
  4. Step 4: Simplify right side
    353,778.43x = 98,036,155,593.40
  5. Step 5: Solve for x
    x = 98,036,155,593.40/353,778.43
  6. Step 6: Final answer
    x = 277,111.74

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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.