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Finding the Fourth Proportional to 369,548.92, 509,977.38 and 199,783

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Solution

The fourth proportional to 369,548.92, 509,977.38 and 199,783 is: 275,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,548.92 : 509,977.38 = 199,783 : x
  2. Step 2: Convert to fraction form
    369,548.92/509,977.38 = 199,783/x
  3. Step 3: Cross multiply
    369,548.92x = 509,977.38 × 199,783
  4. Step 4: Simplify right side
    369,548.92x = 101,884,810,908.54
  5. Step 5: Solve for x
    x = 101,884,810,908.54/369,548.92
  6. Step 6: Final answer
    x = 275,700.47

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Double scale
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1.5x scale

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.