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Finding the Fourth Proportional to 287,649.64, 431,668.82 and 100,662.76

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Solution

The fourth proportional to 287,649.64, 431,668.82 and 100,662.76 is: 151,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,649.64 : 431,668.82 = 100,662.76 : x
  2. Step 2: Convert to fraction form
    287,649.64/431,668.82 = 100,662.76/x
  3. Step 3: Cross multiply
    287,649.64x = 431,668.82 × 100,662.76
  4. Step 4: Simplify right side
    287,649.64x = 43,452,974,827.14
  5. Step 5: Solve for x
    x = 43,452,974,827.14/287,649.64
  6. Step 6: Final answer
    x = 151,062.16

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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.