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Finding the Fourth Proportional to 610,491, 842,480 and 338,584.16

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Solution

The fourth proportional to 610,491, 842,480 and 338,584.16 is: 467,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,491 : 842,480 = 338,584.16 : x
  2. Step 2: Convert to fraction form
    610,491/842,480 = 338,584.16/x
  3. Step 3: Cross multiply
    610,491x = 842,480 × 338,584.16
  4. Step 4: Simplify right side
    610,491x = 285,250,383,116.80
  5. Step 5: Solve for x
    x = 285,250,383,116.80/610,491
  6. Step 6: Final answer
    x = 467,247.48

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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.