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Finding the Fourth Proportional to 405,015.20, 606,866.70 and 345,966.20

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Solution

The fourth proportional to 405,015.20, 606,866.70 and 345,966.20 is: 518,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,015.20 : 606,866.70 = 345,966.20 : x
  2. Step 2: Convert to fraction form
    405,015.20/606,866.70 = 345,966.20/x
  3. Step 3: Cross multiply
    405,015.20x = 606,866.70 × 345,966.20
  4. Step 4: Simplify right side
    405,015.20x = 209,955,366,105.54
  5. Step 5: Solve for x
    x = 209,955,366,105.54/405,015.20
  6. Step 6: Final answer
    x = 518,388.86

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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.