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Finding the Fourth Proportional to 413,419.90, 619,801.80 and 226,431.40

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Solution

The fourth proportional to 413,419.90, 619,801.80 and 226,431.40 is: 339,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,419.90 : 619,801.80 = 226,431.40 : x
  2. Step 2: Convert to fraction form
    413,419.90/619,801.80 = 226,431.40/x
  3. Step 3: Cross multiply
    413,419.90x = 619,801.80 × 226,431.40
  4. Step 4: Simplify right side
    413,419.90x = 140,342,589,296.52
  5. Step 5: Solve for x
    x = 140,342,589,296.52/413,419.90
  6. Step 6: Final answer
    x = 339,467.43

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1.5x scale

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.