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Finding the Fourth Proportional to 287,668.71, 431,506.71 and 110,186.37

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Solution

The fourth proportional to 287,668.71, 431,506.71 and 110,186.37 is: 165,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,668.71 : 431,506.71 = 110,186.37 : x
  2. Step 2: Convert to fraction form
    287,668.71/431,506.71 = 110,186.37/x
  3. Step 3: Cross multiply
    287,668.71x = 431,506.71 × 110,186.37
  4. Step 4: Simplify right side
    287,668.71x = 47,546,158,005.54
  5. Step 5: Solve for x
    x = 47,546,158,005.54/287,668.71
  6. Step 6: Final answer
    x = 165,280.95

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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.