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Finding the Fourth Proportional to 523,436.56, 785,138.10 and 219,991.48

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Solution

The fourth proportional to 523,436.56, 785,138.10 and 219,991.48 is: 329,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,436.56 : 785,138.10 = 219,991.48 : x
  2. Step 2: Convert to fraction form
    523,436.56/785,138.10 = 219,991.48/x
  3. Step 3: Cross multiply
    523,436.56x = 785,138.10 × 219,991.48
  4. Step 4: Simplify right side
    523,436.56x = 172,723,692,623.39
  5. Step 5: Solve for x
    x = 172,723,692,623.39/523,436.56
  6. Step 6: Final answer
    x = 329,980.18

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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.