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Finding the Fourth Proportional to 829,203, 1,243,755.06 and 487,838.22

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Solution

The fourth proportional to 829,203, 1,243,755.06 and 487,838.22 is: 731,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,203 : 1,243,755.06 = 487,838.22 : x
  2. Step 2: Convert to fraction form
    829,203/1,243,755.06 = 487,838.22/x
  3. Step 3: Cross multiply
    829,203x = 1,243,755.06 × 487,838.22
  4. Step 4: Simplify right side
    829,203x = 606,751,254,586.39
  5. Step 5: Solve for x
    x = 606,751,254,586.39/829,203
  6. Step 6: Final answer
    x = 731,728.24

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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.