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Finding the Fourth Proportional to 399,408.30, 598,128.30 and 265,563.90

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Solution

The fourth proportional to 399,408.30, 598,128.30 and 265,563.90 is: 397,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,408.30 : 598,128.30 = 265,563.90 : x
  2. Step 2: Convert to fraction form
    399,408.30/598,128.30 = 265,563.90/x
  3. Step 3: Cross multiply
    399,408.30x = 598,128.30 × 265,563.90
  4. Step 4: Simplify right side
    399,408.30x = 158,841,284,048.37
  5. Step 5: Solve for x
    x = 158,841,284,048.37/399,408.30
  6. Step 6: Final answer
    x = 397,691.50

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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.