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Finding the Fourth Proportional to 369,201.80, 509,498.18 and 199,435.88

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Solution

The fourth proportional to 369,201.80, 509,498.18 and 199,435.88 is: 275,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,201.80 : 509,498.18 = 199,435.88 : x
  2. Step 2: Convert to fraction form
    369,201.80/509,498.18 = 199,435.88/x
  3. Step 3: Cross multiply
    369,201.80x = 509,498.18 × 199,435.88
  4. Step 4: Simplify right side
    369,201.80x = 101,612,217,886.70
  5. Step 5: Solve for x
    x = 101,612,217,886.70/369,201.80
  6. Step 6: Final answer
    x = 275,221.35

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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.