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Finding the Fourth Proportional to 682,978.24, 942,633.33 and 407,353.75

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Solution

The fourth proportional to 682,978.24, 942,633.33 and 407,353.75 is: 562,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,978.24 : 942,633.33 = 407,353.75 : x
  2. Step 2: Convert to fraction form
    682,978.24/942,633.33 = 407,353.75/x
  3. Step 3: Cross multiply
    682,978.24x = 942,633.33 × 407,353.75
  4. Step 4: Simplify right side
    682,978.24x = 383,985,221,850.49
  5. Step 5: Solve for x
    x = 383,985,221,850.49/682,978.24
  6. Step 6: Final answer
    x = 562,221.75

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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.