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Finding the Fourth Proportional to 369,553.92, 509,984.28 and 199,788

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Solution

The fourth proportional to 369,553.92, 509,984.28 and 199,788 is: 275,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,553.92 : 509,984.28 = 199,788 : x
  2. Step 2: Convert to fraction form
    369,553.92/509,984.28 = 199,788/x
  3. Step 3: Cross multiply
    369,553.92x = 509,984.28 × 199,788
  4. Step 4: Simplify right side
    369,553.92x = 101,888,739,332.64
  5. Step 5: Solve for x
    x = 101,888,739,332.64/369,553.92
  6. Step 6: Final answer
    x = 275,707.37

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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.