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Finding the Fourth Proportional to 308,026.47, 424,959.61 and 200,688.51

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Solution

The fourth proportional to 308,026.47, 424,959.61 and 200,688.51 is: 276,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,026.47 : 424,959.61 = 200,688.51 : x
  2. Step 2: Convert to fraction form
    308,026.47/424,959.61 = 200,688.51/x
  3. Step 3: Cross multiply
    308,026.47x = 424,959.61 × 200,688.51
  4. Step 4: Simplify right side
    308,026.47x = 85,284,510,941.08
  5. Step 5: Solve for x
    x = 85,284,510,941.08/308,026.47
  6. Step 6: Final answer
    x = 276,873.97

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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.