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Finding the Fourth Proportional to 208,026.90, 312,040.35 and 205,953.30

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Solution

The fourth proportional to 208,026.90, 312,040.35 and 205,953.30 is: 308,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,026.90 : 312,040.35 = 205,953.30 : x
  2. Step 2: Convert to fraction form
    208,026.90/312,040.35 = 205,953.30/x
  3. Step 3: Cross multiply
    208,026.90x = 312,040.35 × 205,953.30
  4. Step 4: Simplify right side
    208,026.90x = 64,265,739,815.66
  5. Step 5: Solve for x
    x = 64,265,739,815.66/208,026.90
  6. Step 6: Final answer
    x = 308,929.95

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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.