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Finding the Fourth Proportional to 523,761.94, 785,987.43 and 287,270.50

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Solution

The fourth proportional to 523,761.94, 785,987.43 and 287,270.50 is: 431,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,761.94 : 785,987.43 = 287,270.50 : x
  2. Step 2: Convert to fraction form
    523,761.94/785,987.43 = 287,270.50/x
  3. Step 3: Cross multiply
    523,761.94x = 785,987.43 × 287,270.50
  4. Step 4: Simplify right side
    523,761.94x = 225,791,002,009.82
  5. Step 5: Solve for x
    x = 225,791,002,009.82/523,761.94
  6. Step 6: Final answer
    x = 431,094.71

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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.