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Finding the Fourth Proportional to 474,296.85, 654,750.23 and 280,643.67

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Solution

The fourth proportional to 474,296.85, 654,750.23 and 280,643.67 is: 387,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,296.85 : 654,750.23 = 280,643.67 : x
  2. Step 2: Convert to fraction form
    474,296.85/654,750.23 = 280,643.67/x
  3. Step 3: Cross multiply
    474,296.85x = 654,750.23 × 280,643.67
  4. Step 4: Simplify right side
    474,296.85x = 183,751,507,480.54
  5. Step 5: Solve for x
    x = 183,751,507,480.54/474,296.85
  6. Step 6: Final answer
    x = 387,418.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.