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Finding the Fourth Proportional to 369,077.46, 509,326.91 and 199,311.59

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Solution

The fourth proportional to 369,077.46, 509,326.91 and 199,311.59 is: 275,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,077.46 : 509,326.91 = 199,311.59 : x
  2. Step 2: Convert to fraction form
    369,077.46/509,326.91 = 199,311.59/x
  3. Step 3: Cross multiply
    369,077.46x = 509,326.91 × 199,311.59
  4. Step 4: Simplify right side
    369,077.46x = 101,514,752,718.69
  5. Step 5: Solve for x
    x = 101,514,752,718.69/369,077.46
  6. Step 6: Final answer
    x = 275,049.99

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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.