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Finding the Fourth Proportional to 207,065.70, 310,416.30 and 140,289.30

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Solution

The fourth proportional to 207,065.70, 310,416.30 and 140,289.30 is: 210,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,065.70 : 310,416.30 = 140,289.30 : x
  2. Step 2: Convert to fraction form
    207,065.70/310,416.30 = 140,289.30/x
  3. Step 3: Cross multiply
    207,065.70x = 310,416.30 × 140,289.30
  4. Step 4: Simplify right side
    207,065.70x = 43,548,085,435.59
  5. Step 5: Solve for x
    x = 43,548,085,435.59/207,065.70
  6. Step 6: Final answer
    x = 210,310.47

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1.5x scale

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.