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Finding the Fourth Proportional to 405,749.20, 608,623.80 and 264,744.40

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Solution

The fourth proportional to 405,749.20, 608,623.80 and 264,744.40 is: 397,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,749.20 : 608,623.80 = 264,744.40 : x
  2. Step 2: Convert to fraction form
    405,749.20/608,623.80 = 264,744.40/x
  3. Step 3: Cross multiply
    405,749.20x = 608,623.80 × 264,744.40
  4. Step 4: Simplify right side
    405,749.20x = 161,129,742,756.72
  5. Step 5: Solve for x
    x = 161,129,742,756.72/405,749.20
  6. Step 6: Final answer
    x = 397,116.60

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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.