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Finding the Fourth Proportional to 405,300.54, 607,949.85 and 380,638.35

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Solution

The fourth proportional to 405,300.54, 607,949.85 and 380,638.35 is: 570,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,300.54 : 607,949.85 = 380,638.35 : x
  2. Step 2: Convert to fraction form
    405,300.54/607,949.85 = 380,638.35/x
  3. Step 3: Cross multiply
    405,300.54x = 607,949.85 × 380,638.35
  4. Step 4: Simplify right side
    405,300.54x = 231,409,027,786.75
  5. Step 5: Solve for x
    x = 231,409,027,786.75/405,300.54
  6. Step 6: Final answer
    x = 570,956.62

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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.