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Finding the Fourth Proportional to 207,800.16, 311,700.24 and 166,509.60

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Solution

The fourth proportional to 207,800.16, 311,700.24 and 166,509.60 is: 249,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,800.16 : 311,700.24 = 166,509.60 : x
  2. Step 2: Convert to fraction form
    207,800.16/311,700.24 = 166,509.60/x
  3. Step 3: Cross multiply
    207,800.16x = 311,700.24 × 166,509.60
  4. Step 4: Simplify right side
    207,800.16x = 51,901,082,282.30
  5. Step 5: Solve for x
    x = 51,901,082,282.30/207,800.16
  6. Step 6: Final answer
    x = 249,764.40

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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.