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Finding the Fourth Proportional to 299,522.16, 413,280.24 and 190,670.28

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Solution

The fourth proportional to 299,522.16, 413,280.24 and 190,670.28 is: 263,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,522.16 : 413,280.24 = 190,670.28 : x
  2. Step 2: Convert to fraction form
    299,522.16/413,280.24 = 190,670.28/x
  3. Step 3: Cross multiply
    299,522.16x = 413,280.24 × 190,670.28
  4. Step 4: Simplify right side
    299,522.16x = 78,800,259,079.27
  5. Step 5: Solve for x
    x = 78,800,259,079.27/299,522.16
  6. Step 6: Final answer
    x = 263,086.57

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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.