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Finding the Fourth Proportional to 405,014.20, 606,865.20 and 345,965.20

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Solution

The fourth proportional to 405,014.20, 606,865.20 and 345,965.20 is: 518,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,014.20 : 606,865.20 = 345,965.20 : x
  2. Step 2: Convert to fraction form
    405,014.20/606,865.20 = 345,965.20/x
  3. Step 3: Cross multiply
    405,014.20x = 606,865.20 × 345,965.20
  4. Step 4: Simplify right side
    405,014.20x = 209,954,240,291.04
  5. Step 5: Solve for x
    x = 209,954,240,291.04/405,014.20
  6. Step 6: Final answer
    x = 518,387.36

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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.