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Finding the Fourth Proportional to 294,342.36, 406,201.14 and 208,455

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Solution

The fourth proportional to 294,342.36, 406,201.14 and 208,455 is: 287,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,342.36 : 406,201.14 = 208,455 : x
  2. Step 2: Convert to fraction form
    294,342.36/406,201.14 = 208,455/x
  3. Step 3: Cross multiply
    294,342.36x = 406,201.14 × 208,455
  4. Step 4: Simplify right side
    294,342.36x = 84,674,658,638.70
  5. Step 5: Solve for x
    x = 84,674,658,638.70/294,342.36
  6. Step 6: Final answer
    x = 287,674.05

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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.