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Finding the Fourth Proportional to 369,730.80, 510,228.50 and 199,964.92

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Solution

The fourth proportional to 369,730.80, 510,228.50 and 199,964.92 is: 275,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,730.80 : 510,228.50 = 199,964.92 : x
  2. Step 2: Convert to fraction form
    369,730.80/510,228.50 = 199,964.92/x
  3. Step 3: Cross multiply
    369,730.80x = 510,228.50 × 199,964.92
  4. Step 4: Simplify right side
    369,730.80x = 102,027,801,184.22
  5. Step 5: Solve for x
    x = 102,027,801,184.22/369,730.80
  6. Step 6: Final answer
    x = 275,951.59

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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.