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Finding the Fourth Proportional to 682,011.62, 941,198.77 and 371,931.18

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Solution

The fourth proportional to 682,011.62, 941,198.77 and 371,931.18 is: 513,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,011.62 : 941,198.77 = 371,931.18 : x
  2. Step 2: Convert to fraction form
    682,011.62/941,198.77 = 371,931.18/x
  3. Step 3: Cross multiply
    682,011.62x = 941,198.77 × 371,931.18
  4. Step 4: Simplify right side
    682,011.62x = 350,061,168,210.82
  5. Step 5: Solve for x
    x = 350,061,168,210.82/682,011.62
  6. Step 6: Final answer
    x = 513,277.43

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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.