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Finding the Fourth Proportional to 431,322.30, 647,113.05 and 306,906.30

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Solution

The fourth proportional to 431,322.30, 647,113.05 and 306,906.30 is: 460,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,322.30 : 647,113.05 = 306,906.30 : x
  2. Step 2: Convert to fraction form
    431,322.30/647,113.05 = 306,906.30/x
  3. Step 3: Cross multiply
    431,322.30x = 647,113.05 × 306,906.30
  4. Step 4: Simplify right side
    431,322.30x = 198,603,071,857.22
  5. Step 5: Solve for x
    x = 198,603,071,857.22/431,322.30
  6. Step 6: Final answer
    x = 460,451.67

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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.