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Finding the Fourth Proportional to 380,755.16, 525,435.82 and 208,671.80

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Solution

The fourth proportional to 380,755.16, 525,435.82 and 208,671.80 is: 287,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,755.16 : 525,435.82 = 208,671.80 : x
  2. Step 2: Convert to fraction form
    380,755.16/525,435.82 = 208,671.80/x
  3. Step 3: Cross multiply
    380,755.16x = 525,435.82 × 208,671.80
  4. Step 4: Simplify right side
    380,755.16x = 109,643,638,343.88
  5. Step 5: Solve for x
    x = 109,643,638,343.88/380,755.16
  6. Step 6: Final answer
    x = 287,963.63

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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.