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Finding the Fourth Proportional to 305,220.69, 421,153.22 and 203,398.16

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Solution

The fourth proportional to 305,220.69, 421,153.22 and 203,398.16 is: 280,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,220.69 : 421,153.22 = 203,398.16 : x
  2. Step 2: Convert to fraction form
    305,220.69/421,153.22 = 203,398.16/x
  3. Step 3: Cross multiply
    305,220.69x = 421,153.22 × 203,398.16
  4. Step 4: Simplify right side
    305,220.69x = 85,661,788,428.80
  5. Step 5: Solve for x
    x = 85,661,788,428.80/305,220.69
  6. Step 6: Final answer
    x = 280,655.25

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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.