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Finding the Fourth Proportional to 411,977, 618,300.72 and 212,354.47

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Solution

The fourth proportional to 411,977, 618,300.72 and 212,354.47 is: 318,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,977 : 618,300.72 = 212,354.47 : x
  2. Step 2: Convert to fraction form
    411,977/618,300.72 = 212,354.47/x
  3. Step 3: Cross multiply
    411,977x = 618,300.72 × 212,354.47
  4. Step 4: Simplify right side
    411,977x = 131,298,921,696.22
  5. Step 5: Solve for x
    x = 131,298,921,696.22/411,977
  6. Step 6: Final answer
    x = 318,704.49

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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.