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Finding the Fourth Proportional to 523,754.47, 785,976.23 and 287,263.23

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Solution

The fourth proportional to 523,754.47, 785,976.23 and 287,263.23 is: 431,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,754.47 : 785,976.23 = 287,263.23 : x
  2. Step 2: Convert to fraction form
    523,754.47/785,976.23 = 287,263.23/x
  3. Step 3: Cross multiply
    523,754.47x = 785,976.23 × 287,263.23
  4. Step 4: Simplify right side
    523,754.47x = 225,782,070,533.02
  5. Step 5: Solve for x
    x = 225,782,070,533.02/523,754.47
  6. Step 6: Final answer
    x = 431,083.81

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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.