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Finding the Fourth Proportional to 645,363.36, 968,175.72 and 271,386

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Solution

The fourth proportional to 645,363.36, 968,175.72 and 271,386 is: 407,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,363.36 : 968,175.72 = 271,386 : x
  2. Step 2: Convert to fraction form
    645,363.36/968,175.72 = 271,386/x
  3. Step 3: Cross multiply
    645,363.36x = 968,175.72 × 271,386
  4. Step 4: Simplify right side
    645,363.36x = 262,749,335,947.92
  5. Step 5: Solve for x
    x = 262,749,335,947.92/645,363.36
  6. Step 6: Final answer
    x = 407,133.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.