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Finding the Fourth Proportional to 411,971.00, 618,291.71 and 212,348.47

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Solution

The fourth proportional to 411,971.00, 618,291.71 and 212,348.47 is: 318,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,971.00 : 618,291.71 = 212,348.47 : x
  2. Step 2: Convert to fraction form
    411,971.00/618,291.71 = 212,348.47/x
  3. Step 3: Cross multiply
    411,971.00x = 618,291.71 × 212,348.47
  4. Step 4: Simplify right side
    411,971.00x = 131,293,299,174.78
  5. Step 5: Solve for x
    x = 131,293,299,174.78/411,971.00
  6. Step 6: Final answer
    x = 318,695.49

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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.