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Finding the Fourth Proportional to 345,260.78, 476,458.40 and 192,300.78

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Solution

The fourth proportional to 345,260.78, 476,458.40 and 192,300.78 is: 265,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,260.78 : 476,458.40 = 192,300.78 : x
  2. Step 2: Convert to fraction form
    345,260.78/476,458.40 = 192,300.78/x
  3. Step 3: Cross multiply
    345,260.78x = 476,458.40 × 192,300.78
  4. Step 4: Simplify right side
    345,260.78x = 91,623,324,225.02
  5. Step 5: Solve for x
    x = 91,623,324,225.02/345,260.78
  6. Step 6: Final answer
    x = 265,374.26

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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.