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Finding the Fourth Proportional to 208,051.30, 312,076.95 and 199,303.30

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Solution

The fourth proportional to 208,051.30, 312,076.95 and 199,303.30 is: 298,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051.30 : 312,076.95 = 199,303.30 : x
  2. Step 2: Convert to fraction form
    208,051.30/312,076.95 = 199,303.30/x
  3. Step 3: Cross multiply
    208,051.30x = 312,076.95 × 199,303.30
  4. Step 4: Simplify right side
    208,051.30x = 62,197,965,988.94
  5. Step 5: Solve for x
    x = 62,197,965,988.94/208,051.30
  6. Step 6: Final answer
    x = 298,954.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.