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Finding the Fourth Proportional to 287,706.49, 431,684.21 and 154,431.11

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Solution

The fourth proportional to 287,706.49, 431,684.21 and 154,431.11 is: 231,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,706.49 : 431,684.21 = 154,431.11 : x
  2. Step 2: Convert to fraction form
    287,706.49/431,684.21 = 154,431.11/x
  3. Step 3: Cross multiply
    287,706.49x = 431,684.21 × 154,431.11
  4. Step 4: Simplify right side
    287,706.49x = 66,665,473,185.06
  5. Step 5: Solve for x
    x = 66,665,473,185.06/287,706.49
  6. Step 6: Final answer
    x = 231,713.49

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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.