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Finding the Fourth Proportional to 299,389.78, 413,147.55 and 178,468.75

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Solution

The fourth proportional to 299,389.78, 413,147.55 and 178,468.75 is: 246,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,389.78 : 413,147.55 = 178,468.75 : x
  2. Step 2: Convert to fraction form
    299,389.78/413,147.55 = 178,468.75/x
  3. Step 3: Cross multiply
    299,389.78x = 413,147.55 × 178,468.75
  4. Step 4: Simplify right side
    299,389.78x = 73,733,926,814.06
  5. Step 5: Solve for x
    x = 73,733,926,814.06/299,389.78
  6. Step 6: Final answer
    x = 246,280.71

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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.