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Finding the Fourth Proportional to 610,616.21, 842,098.77 and 381,194.68

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Solution

The fourth proportional to 610,616.21, 842,098.77 and 381,194.68 is: 525,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,616.21 : 842,098.77 = 381,194.68 : x
  2. Step 2: Convert to fraction form
    610,616.21/842,098.77 = 381,194.68/x
  3. Step 3: Cross multiply
    610,616.21x = 842,098.77 × 381,194.68
  4. Step 4: Simplify right side
    610,616.21x = 321,003,571,158.54
  5. Step 5: Solve for x
    x = 321,003,571,158.54/610,616.21
  6. Step 6: Final answer
    x = 525,704.31

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1.5x scale

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.