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Finding the Fourth Proportional to 342,509.32, 472,757.94 and 199,297.12

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Solution

The fourth proportional to 342,509.32, 472,757.94 and 199,297.12 is: 275,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,509.32 : 472,757.94 = 199,297.12 : x
  2. Step 2: Convert to fraction form
    342,509.32/472,757.94 = 199,297.12/x
  3. Step 3: Cross multiply
    342,509.32x = 472,757.94 × 199,297.12
  4. Step 4: Simplify right side
    342,509.32x = 94,219,295,899.13
  5. Step 5: Solve for x
    x = 94,219,295,899.13/342,509.32
  6. Step 6: Final answer
    x = 275,085.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.