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Finding the Fourth Proportional to 682,978.80, 942,634.08 and 407,354.28

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Solution

The fourth proportional to 682,978.80, 942,634.08 and 407,354.28 is: 562,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,978.80 : 942,634.08 = 407,354.28 : x
  2. Step 2: Convert to fraction form
    682,978.80/942,634.08 = 407,354.28/x
  3. Step 3: Cross multiply
    682,978.80x = 942,634.08 × 407,354.28
  4. Step 4: Simplify right side
    682,978.80x = 383,986,026,961.86
  5. Step 5: Solve for x
    x = 383,986,026,961.86/682,978.80
  6. Step 6: Final answer
    x = 562,222.47

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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.