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Finding the Fourth Proportional to 490,647.72, 676,994.63 and 286,659.24

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Solution

The fourth proportional to 490,647.72, 676,994.63 and 286,659.24 is: 395,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,647.72 : 676,994.63 = 286,659.24 : x
  2. Step 2: Convert to fraction form
    490,647.72/676,994.63 = 286,659.24/x
  3. Step 3: Cross multiply
    490,647.72x = 676,994.63 × 286,659.24
  4. Step 4: Simplify right side
    490,647.72x = 194,066,764,686.59
  5. Step 5: Solve for x
    x = 194,066,764,686.59/490,647.72
  6. Step 6: Final answer
    x = 395,531.78

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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.