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Finding the Fourth Proportional to 429,715.01, 641,418.25 and 398,047.25

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Solution

The fourth proportional to 429,715.01, 641,418.25 and 398,047.25 is: 594,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,715.01 : 641,418.25 = 398,047.25 : x
  2. Step 2: Convert to fraction form
    429,715.01/641,418.25 = 398,047.25/x
  3. Step 3: Cross multiply
    429,715.01x = 641,418.25 × 398,047.25
  4. Step 4: Simplify right side
    429,715.01x = 255,314,770,512.31
  5. Step 5: Solve for x
    x = 255,314,770,512.31/429,715.01
  6. Step 6: Final answer
    x = 594,149.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.