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Finding the Fourth Proportional to 413,665.20, 620,643.60 and 399,085.20

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Solution

The fourth proportional to 413,665.20, 620,643.60 and 399,085.20 is: 598,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,665.20 : 620,643.60 = 399,085.20 : x
  2. Step 2: Convert to fraction form
    413,665.20/620,643.60 = 399,085.20/x
  3. Step 3: Cross multiply
    413,665.20x = 620,643.60 × 399,085.20
  4. Step 4: Simplify right side
    413,665.20x = 247,689,675,234.72
  5. Step 5: Solve for x
    x = 247,689,675,234.72/413,665.20
  6. Step 6: Final answer
    x = 598,768.46

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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.