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Finding the Fourth Proportional to 208,994.80, 313,492.20 and 207,828.40

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Solution

The fourth proportional to 208,994.80, 313,492.20 and 207,828.40 is: 311,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,994.80 : 313,492.20 = 207,828.40 : x
  2. Step 2: Convert to fraction form
    208,994.80/313,492.20 = 207,828.40/x
  3. Step 3: Cross multiply
    208,994.80x = 313,492.20 × 207,828.40
  4. Step 4: Simplify right side
    208,994.80x = 65,152,582,338.48
  5. Step 5: Solve for x
    x = 65,152,582,338.48/208,994.80
  6. Step 6: Final answer
    x = 311,742.60

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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.