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Finding the Fourth Proportional to 207,538.72, 311,308.16 and 160,222.91

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Solution

The fourth proportional to 207,538.72, 311,308.16 and 160,222.91 is: 240,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,538.72 : 311,308.16 = 160,222.91 : x
  2. Step 2: Convert to fraction form
    207,538.72/311,308.16 = 160,222.91/x
  3. Step 3: Cross multiply
    207,538.72x = 311,308.16 × 160,222.91
  4. Step 4: Simplify right side
    207,538.72x = 49,878,696,944.29
  5. Step 5: Solve for x
    x = 49,878,696,944.29/207,538.72
  6. Step 6: Final answer
    x = 240,334.42

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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.