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Finding the Fourth Proportional to 686,998.27, 948,072.81 and 381,064.69

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Solution

The fourth proportional to 686,998.27, 948,072.81 and 381,064.69 is: 525,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,998.27 : 948,072.81 = 381,064.69 : x
  2. Step 2: Convert to fraction form
    686,998.27/948,072.81 = 381,064.69/x
  3. Step 3: Cross multiply
    686,998.27x = 948,072.81 × 381,064.69
  4. Step 4: Simplify right side
    686,998.27x = 361,277,071,440.08
  5. Step 5: Solve for x
    x = 361,277,071,440.08/686,998.27
  6. Step 6: Final answer
    x = 525,877.70

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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.