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Finding the Fourth Proportional to 523,740.41, 785,955.17 and 287,249.21

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Solution

The fourth proportional to 523,740.41, 785,955.17 and 287,249.21 is: 431,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,740.41 : 785,955.17 = 287,249.21 : x
  2. Step 2: Convert to fraction form
    523,740.41/785,955.17 = 287,249.21/x
  3. Step 3: Cross multiply
    523,740.41x = 785,955.17 × 287,249.21
  4. Step 4: Simplify right side
    523,740.41x = 225,765,000,241.67
  5. Step 5: Solve for x
    x = 225,765,000,241.67/523,740.41
  6. Step 6: Final answer
    x = 431,062.79

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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.