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Finding the Fourth Proportional to 308,673.87, 465,324.38 and 288,099

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Solution

The fourth proportional to 308,673.87, 465,324.38 and 288,099 is: 434,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,673.87 : 465,324.38 = 288,099 : x
  2. Step 2: Convert to fraction form
    308,673.87/465,324.38 = 288,099/x
  3. Step 3: Cross multiply
    308,673.87x = 465,324.38 × 288,099
  4. Step 4: Simplify right side
    308,673.87x = 134,059,487,113.13
  5. Step 5: Solve for x
    x = 134,059,487,113.13/308,673.87
  6. Step 6: Final answer
    x = 434,307.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.