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Finding the Fourth Proportional to 209,990.70, 314,986.05 and 185,496.30

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Solution

The fourth proportional to 209,990.70, 314,986.05 and 185,496.30 is: 278,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,990.70 : 314,986.05 = 185,496.30 : x
  2. Step 2: Convert to fraction form
    209,990.70/314,986.05 = 185,496.30/x
  3. Step 3: Cross multiply
    209,990.70x = 314,986.05 × 185,496.30
  4. Step 4: Simplify right side
    209,990.70x = 58,428,746,826.62
  5. Step 5: Solve for x
    x = 58,428,746,826.62/209,990.70
  6. Step 6: Final answer
    x = 278,244.45

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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.