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Finding the Fourth Proportional to 342,220.97, 472,323.21 and 199,064

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Solution

The fourth proportional to 342,220.97, 472,323.21 and 199,064 is: 274,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,220.97 : 472,323.21 = 199,064 : x
  2. Step 2: Convert to fraction form
    342,220.97/472,323.21 = 199,064/x
  3. Step 3: Cross multiply
    342,220.97x = 472,323.21 × 199,064
  4. Step 4: Simplify right side
    342,220.97x = 94,022,547,475.44
  5. Step 5: Solve for x
    x = 94,022,547,475.44/342,220.97
  6. Step 6: Final answer
    x = 274,742.22

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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.