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Finding the Fourth Proportional to 360,912.98, 498,064.34 and 199,783.06

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Solution

The fourth proportional to 360,912.98, 498,064.34 and 199,783.06 is: 275,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,912.98 : 498,064.34 = 199,783.06 : x
  2. Step 2: Convert to fraction form
    360,912.98/498,064.34 = 199,783.06/x
  3. Step 3: Cross multiply
    360,912.98x = 498,064.34 × 199,783.06
  4. Step 4: Simplify right side
    360,912.98x = 99,504,817,176.38
  5. Step 5: Solve for x
    x = 99,504,817,176.38/360,912.98
  6. Step 6: Final answer
    x = 275,703.07

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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.