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Finding the Fourth Proportional to 490,051.88, 676,250.64 and 286,114.10

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Solution

The fourth proportional to 490,051.88, 676,250.64 and 286,114.10 is: 394,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,051.88 : 676,250.64 = 286,114.10 : x
  2. Step 2: Convert to fraction form
    490,051.88/676,250.64 = 286,114.10/x
  3. Step 3: Cross multiply
    490,051.88x = 676,250.64 × 286,114.10
  4. Step 4: Simplify right side
    490,051.88x = 193,484,843,238.02
  5. Step 5: Solve for x
    x = 193,484,843,238.02/490,051.88
  6. Step 6: Final answer
    x = 394,825.22

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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.