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Finding the Fourth Proportional to 523,763.44, 785,989.68 and 287,272

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Solution

The fourth proportional to 523,763.44, 785,989.68 and 287,272 is: 431,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,763.44 : 785,989.68 = 287,272 : x
  2. Step 2: Convert to fraction form
    523,763.44/785,989.68 = 287,272/x
  3. Step 3: Cross multiply
    523,763.44x = 785,989.68 × 287,272
  4. Step 4: Simplify right side
    523,763.44x = 225,792,827,352.96
  5. Step 5: Solve for x
    x = 225,792,827,352.96/523,763.44
  6. Step 6: Final answer
    x = 431,096.96

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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.