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Finding the Fourth Proportional to 340,704.78, 510,575.21 and 188,969.10

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Solution

The fourth proportional to 340,704.78, 510,575.21 and 188,969.10 is: 283,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,704.78 : 510,575.21 = 188,969.10 : x
  2. Step 2: Convert to fraction form
    340,704.78/510,575.21 = 188,969.10/x
  3. Step 3: Cross multiply
    340,704.78x = 510,575.21 × 188,969.10
  4. Step 4: Simplify right side
    340,704.78x = 96,482,937,916.01
  5. Step 5: Solve for x
    x = 96,482,937,916.01/340,704.78
  6. Step 6: Final answer
    x = 283,186.33

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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.