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Finding the Fourth Proportional to 275,509.75, 413,264.64 and 109,297.75

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Solution

The fourth proportional to 275,509.75, 413,264.64 and 109,297.75 is: 163,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,509.75 : 413,264.64 = 109,297.75 : x
  2. Step 2: Convert to fraction form
    275,509.75/413,264.64 = 109,297.75/x
  3. Step 3: Cross multiply
    275,509.75x = 413,264.64 × 109,297.75
  4. Step 4: Simplify right side
    275,509.75x = 45,168,895,306.56
  5. Step 5: Solve for x
    x = 45,168,895,306.56/275,509.75
  6. Step 6: Final answer
    x = 163,946.63

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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.