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Finding the Fourth Proportional to 523,718.56, 785,922.35 and 287,227.32

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Solution

The fourth proportional to 523,718.56, 785,922.35 and 287,227.32 is: 431,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,718.56 : 785,922.35 = 287,227.32 : x
  2. Step 2: Convert to fraction form
    523,718.56/785,922.35 = 287,227.32/x
  3. Step 3: Cross multiply
    523,718.56x = 785,922.35 × 287,227.32
  4. Step 4: Simplify right side
    523,718.56x = 225,738,365,935.26
  5. Step 5: Solve for x
    x = 225,738,365,935.26/523,718.56
  6. Step 6: Final answer
    x = 431,029.91

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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.