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Finding the Fourth Proportional to 298,054.90, 412,398.85 and 259,894.03

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Solution

The fourth proportional to 298,054.90, 412,398.85 and 259,894.03 is: 359,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,054.90 : 412,398.85 = 259,894.03 : x
  2. Step 2: Convert to fraction form
    298,054.90/412,398.85 = 259,894.03/x
  3. Step 3: Cross multiply
    298,054.90x = 412,398.85 × 259,894.03
  4. Step 4: Simplify right side
    298,054.90x = 107,179,996,382.14
  5. Step 5: Solve for x
    x = 107,179,996,382.14/298,054.90
  6. Step 6: Final answer
    x = 359,598.17

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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.