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Finding the Fourth Proportional to 490,460.90, 676,814.24 and 286,530.70

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Solution

The fourth proportional to 490,460.90, 676,814.24 and 286,530.70 is: 395,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,460.90 : 676,814.24 = 286,530.70 : x
  2. Step 2: Convert to fraction form
    490,460.90/676,814.24 = 286,530.70/x
  3. Step 3: Cross multiply
    490,460.90x = 676,814.24 × 286,530.70
  4. Step 4: Simplify right side
    490,460.90x = 193,928,057,957.17
  5. Step 5: Solve for x
    x = 193,928,057,957.17/490,460.90
  6. Step 6: Final answer
    x = 395,399.63

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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.