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Finding the Fourth Proportional to 285,752.21, 428,628.31 and 96,196.71

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Solution

The fourth proportional to 285,752.21, 428,628.31 and 96,196.71 is: 144,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,752.21 : 428,628.31 = 96,196.71 : x
  2. Step 2: Convert to fraction form
    285,752.21/428,628.31 = 96,196.71/x
  3. Step 3: Cross multiply
    285,752.21x = 428,628.31 × 96,196.71
  4. Step 4: Simplify right side
    285,752.21x = 41,232,634,601.72
  5. Step 5: Solve for x
    x = 41,232,634,601.72/285,752.21
  6. Step 6: Final answer
    x = 144,295.07

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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.