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Finding the Fourth Proportional to 469,240.80, 703,400.40 and 419,474.40

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Solution

The fourth proportional to 469,240.80, 703,400.40 and 419,474.40 is: 628,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,240.80 : 703,400.40 = 419,474.40 : x
  2. Step 2: Convert to fraction form
    469,240.80/703,400.40 = 419,474.40/x
  3. Step 3: Cross multiply
    469,240.80x = 703,400.40 × 419,474.40
  4. Step 4: Simplify right side
    469,240.80x = 295,058,460,749.76
  5. Step 5: Solve for x
    x = 295,058,460,749.76/469,240.80
  6. Step 6: Final answer
    x = 628,799.67

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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.