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Finding the Fourth Proportional to 369,466.61, 509,863.64 and 199,700.73

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Solution

The fourth proportional to 369,466.61, 509,863.64 and 199,700.73 is: 275,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,466.61 : 509,863.64 = 199,700.73 : x
  2. Step 2: Convert to fraction form
    369,466.61/509,863.64 = 199,700.73/x
  3. Step 3: Cross multiply
    369,466.61x = 509,863.64 × 199,700.73
  4. Step 4: Simplify right side
    369,466.61x = 101,820,140,109.95
  5. Step 5: Solve for x
    x = 101,820,140,109.95/369,466.61
  6. Step 6: Final answer
    x = 275,586.86

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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.