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Finding the Fourth Proportional to 207,983.70, 312,303.60 and 119,410.20

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Solution

The fourth proportional to 207,983.70, 312,303.60 and 119,410.20 is: 179,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,983.70 : 312,303.60 = 119,410.20 : x
  2. Step 2: Convert to fraction form
    207,983.70/312,303.60 = 119,410.20/x
  3. Step 3: Cross multiply
    207,983.70x = 312,303.60 × 119,410.20
  4. Step 4: Simplify right side
    207,983.70x = 37,292,235,336.72
  5. Step 5: Solve for x
    x = 37,292,235,336.72/207,983.70
  6. Step 6: Final answer
    x = 179,303.64

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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.