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Finding the Fourth Proportional to 902,145, 1,244,960.10 and 499,737

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Solution

The fourth proportional to 902,145, 1,244,960.10 and 499,737 is: 689,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,145 : 1,244,960.10 = 499,737 : x
  2. Step 2: Convert to fraction form
    902,145/1,244,960.10 = 499,737/x
  3. Step 3: Cross multiply
    902,145x = 1,244,960.10 × 499,737
  4. Step 4: Simplify right side
    902,145x = 622,152,625,493.70
  5. Step 5: Solve for x
    x = 622,152,625,493.70/902,145
  6. Step 6: Final answer
    x = 689,637.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.