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Finding the Fourth Proportional to 209,969.70, 314,954.55 and 190,286.70

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Solution

The fourth proportional to 209,969.70, 314,954.55 and 190,286.70 is: 285,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.70 : 314,954.55 = 190,286.70 : x
  2. Step 2: Convert to fraction form
    209,969.70/314,954.55 = 190,286.70/x
  3. Step 3: Cross multiply
    209,969.70x = 314,954.55 × 190,286.70
  4. Step 4: Simplify right side
    209,969.70x = 59,931,661,969.49
  5. Step 5: Solve for x
    x = 59,931,661,969.49/209,969.70
  6. Step 6: Final answer
    x = 285,430.05

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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.