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Finding the Fourth Proportional to 287,877.58, 397,431.66 and 202,099.78

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Solution

The fourth proportional to 287,877.58, 397,431.66 and 202,099.78 is: 279,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,877.58 : 397,431.66 = 202,099.78 : x
  2. Step 2: Convert to fraction form
    287,877.58/397,431.66 = 202,099.78/x
  3. Step 3: Cross multiply
    287,877.58x = 397,431.66 × 202,099.78
  4. Step 4: Simplify right side
    287,877.58x = 80,320,851,051.03
  5. Step 5: Solve for x
    x = 80,320,851,051.03/287,877.58
  6. Step 6: Final answer
    x = 279,010.44

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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.