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Finding the Fourth Proportional to 287,136.94, 430,672.44 and 76,791.28

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Solution

The fourth proportional to 287,136.94, 430,672.44 and 76,791.28 is: 115,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,136.94 : 430,672.44 = 76,791.28 : x
  2. Step 2: Convert to fraction form
    287,136.94/430,672.44 = 76,791.28/x
  3. Step 3: Cross multiply
    287,136.94x = 430,672.44 × 76,791.28
  4. Step 4: Simplify right side
    287,136.94x = 33,071,887,928.32
  5. Step 5: Solve for x
    x = 33,071,887,928.32/287,136.94
  6. Step 6: Final answer
    x = 115,178.10

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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.