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Finding the Fourth Proportional to 548,820.36, 823,378.32 and 282,435.72

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Solution

The fourth proportional to 548,820.36, 823,378.32 and 282,435.72 is: 423,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,820.36 : 823,378.32 = 282,435.72 : x
  2. Step 2: Convert to fraction form
    548,820.36/823,378.32 = 282,435.72/x
  3. Step 3: Cross multiply
    548,820.36x = 823,378.32 × 282,435.72
  4. Step 4: Simplify right side
    548,820.36x = 232,551,448,641.59
  5. Step 5: Solve for x
    x = 232,551,448,641.59/548,820.36
  6. Step 6: Final answer
    x = 423,729.63

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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.