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Finding the Fourth Proportional to 646,411.20, 969,616.80 and 394,468.80

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Solution

The fourth proportional to 646,411.20, 969,616.80 and 394,468.80 is: 591,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,411.20 : 969,616.80 = 394,468.80 : x
  2. Step 2: Convert to fraction form
    646,411.20/969,616.80 = 394,468.80/x
  3. Step 3: Cross multiply
    646,411.20x = 969,616.80 × 394,468.80
  4. Step 4: Simplify right side
    646,411.20x = 382,483,575,555.84
  5. Step 5: Solve for x
    x = 382,483,575,555.84/646,411.20
  6. Step 6: Final answer
    x = 591,703.20

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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.