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Finding the Fourth Proportional to 287,718.26, 397,074.83 and 158,681.97

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Solution

The fourth proportional to 287,718.26, 397,074.83 and 158,681.97 is: 218,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,718.26 : 397,074.83 = 158,681.97 : x
  2. Step 2: Convert to fraction form
    287,718.26/397,074.83 = 158,681.97/x
  3. Step 3: Cross multiply
    287,718.26x = 397,074.83 × 158,681.97
  4. Step 4: Simplify right side
    287,718.26x = 63,008,615,468.41
  5. Step 5: Solve for x
    x = 63,008,615,468.41/287,718.26
  6. Step 6: Final answer
    x = 218,994.15

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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.