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Finding the Fourth Proportional to 369,289.64, 509,619.06 and 199,523.24

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Solution

The fourth proportional to 369,289.64, 509,619.06 and 199,523.24 is: 275,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,289.64 : 509,619.06 = 199,523.24 : x
  2. Step 2: Convert to fraction form
    369,289.64/509,619.06 = 199,523.24/x
  3. Step 3: Cross multiply
    369,289.64x = 509,619.06 × 199,523.24
  4. Step 4: Simplify right side
    369,289.64x = 101,680,846,016.95
  5. Step 5: Solve for x
    x = 101,680,846,016.95/369,289.64
  6. Step 6: Final answer
    x = 275,341.72

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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.