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Finding the Fourth Proportional to 431,007.44, 647,107.50 and 297,558.32

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Solution

The fourth proportional to 431,007.44, 647,107.50 and 297,558.32 is: 446,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,007.44 : 647,107.50 = 297,558.32 : x
  2. Step 2: Convert to fraction form
    431,007.44/647,107.50 = 297,558.32/x
  3. Step 3: Cross multiply
    431,007.44x = 647,107.50 × 297,558.32
  4. Step 4: Simplify right side
    431,007.44x = 192,552,220,559.40
  5. Step 5: Solve for x
    x = 192,552,220,559.40/431,007.44
  6. Step 6: Final answer
    x = 446,749.18

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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.