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Finding the Fourth Proportional to 394,303.61, 543,781.76 and 258,287.94

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Solution

The fourth proportional to 394,303.61, 543,781.76 and 258,287.94 is: 356,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,303.61 : 543,781.76 = 258,287.94 : x
  2. Step 2: Convert to fraction form
    394,303.61/543,781.76 = 258,287.94/x
  3. Step 3: Cross multiply
    394,303.61x = 543,781.76 × 258,287.94
  4. Step 4: Simplify right side
    394,303.61x = 140,452,269,308.54
  5. Step 5: Solve for x
    x = 140,452,269,308.54/394,303.61
  6. Step 6: Final answer
    x = 356,203.35

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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.