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Finding the Fourth Proportional to 682,978.74, 942,634.02 and 407,354.25

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Solution

The fourth proportional to 682,978.74, 942,634.02 and 407,354.25 is: 562,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,978.74 : 942,634.02 = 407,354.25 : x
  2. Step 2: Convert to fraction form
    682,978.74/942,634.02 = 407,354.25/x
  3. Step 3: Cross multiply
    682,978.74x = 942,634.02 × 407,354.25
  4. Step 4: Simplify right side
    682,978.74x = 383,985,974,241.59
  5. Step 5: Solve for x
    x = 383,985,974,241.59/682,978.74
  6. Step 6: Final answer
    x = 562,222.44

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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.