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Finding the Fourth Proportional to 490,431.26, 676,773.54 and 286,501.07

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Solution

The fourth proportional to 490,431.26, 676,773.54 and 286,501.07 is: 395,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,431.26 : 676,773.54 = 286,501.07 : x
  2. Step 2: Convert to fraction form
    490,431.26/676,773.54 = 286,501.07/x
  3. Step 3: Cross multiply
    490,431.26x = 676,773.54 × 286,501.07
  4. Step 4: Simplify right side
    490,431.26x = 193,896,339,973.82
  5. Step 5: Solve for x
    x = 193,896,339,973.82/490,431.26
  6. Step 6: Final answer
    x = 395,358.86

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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.