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Finding the Fourth Proportional to 287,682.64, 431,669.71 and 191,685.47

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Solution

The fourth proportional to 287,682.64, 431,669.71 and 191,685.47 is: 287,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,682.64 : 431,669.71 = 191,685.47 : x
  2. Step 2: Convert to fraction form
    287,682.64/431,669.71 = 191,685.47/x
  3. Step 3: Cross multiply
    287,682.64x = 431,669.71 × 191,685.47
  4. Step 4: Simplify right side
    287,682.64x = 82,744,809,327.37
  5. Step 5: Solve for x
    x = 82,744,809,327.37/287,682.64
  6. Step 6: Final answer
    x = 287,625.32

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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.