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Finding the Fourth Proportional to 210,630.40, 315,945.60 and 209,318.20

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Solution

The fourth proportional to 210,630.40, 315,945.60 and 209,318.20 is: 313,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,630.40 : 315,945.60 = 209,318.20 : x
  2. Step 2: Convert to fraction form
    210,630.40/315,945.60 = 209,318.20/x
  3. Step 3: Cross multiply
    210,630.40x = 315,945.60 × 209,318.20
  4. Step 4: Simplify right side
    210,630.40x = 66,133,164,289.92
  5. Step 5: Solve for x
    x = 66,133,164,289.92/210,630.40
  6. Step 6: Final answer
    x = 313,977.30

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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.