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Finding the Fourth Proportional to 351,966.94, 485,711.45 and 199,035.16

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Solution

The fourth proportional to 351,966.94, 485,711.45 and 199,035.16 is: 274,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,966.94 : 485,711.45 = 199,035.16 : x
  2. Step 2: Convert to fraction form
    351,966.94/485,711.45 = 199,035.16/x
  3. Step 3: Cross multiply
    351,966.94x = 485,711.45 × 199,035.16
  4. Step 4: Simplify right side
    351,966.94x = 96,673,656,164.58
  5. Step 5: Solve for x
    x = 96,673,656,164.58/351,966.94
  6. Step 6: Final answer
    x = 274,666.87

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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.