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Finding the Fourth Proportional to 287,681.88, 431,223.43 and 161,136.60

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Solution

The fourth proportional to 287,681.88, 431,223.43 and 161,136.60 is: 241,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,681.88 : 431,223.43 = 161,136.60 : x
  2. Step 2: Convert to fraction form
    287,681.88/431,223.43 = 161,136.60/x
  3. Step 3: Cross multiply
    287,681.88x = 431,223.43 × 161,136.60
  4. Step 4: Simplify right side
    287,681.88x = 69,485,877,350.54
  5. Step 5: Solve for x
    x = 69,485,877,350.54/287,681.88
  6. Step 6: Final answer
    x = 241,537.21

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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.