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Finding the Fourth Proportional to 305,907.40, 421,981.14 and 192,533.32

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Solution

The fourth proportional to 305,907.40, 421,981.14 and 192,533.32 is: 265,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,907.40 : 421,981.14 = 192,533.32 : x
  2. Step 2: Convert to fraction form
    305,907.40/421,981.14 = 192,533.32/x
  3. Step 3: Cross multiply
    305,907.40x = 421,981.14 × 192,533.32
  4. Step 4: Simplify right side
    305,907.40x = 81,245,429,861.58
  5. Step 5: Solve for x
    x = 81,245,429,861.58/305,907.40
  6. Step 6: Final answer
    x = 265,588.31

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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.