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Finding the Fourth Proportional to 208,026.40, 312,039.60 and 205,952.80

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Solution

The fourth proportional to 208,026.40, 312,039.60 and 205,952.80 is: 308,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,026.40 : 312,039.60 = 205,952.80 : x
  2. Step 2: Convert to fraction form
    208,026.40/312,039.60 = 205,952.80/x
  3. Step 3: Cross multiply
    208,026.40x = 312,039.60 × 205,952.80
  4. Step 4: Simplify right side
    208,026.40x = 64,265,429,330.88
  5. Step 5: Solve for x
    x = 64,265,429,330.88/208,026.40
  6. Step 6: Final answer
    x = 308,929.20

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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.