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Finding the Fourth Proportional to 305,075.76, 421,004.66 and 185,843.76

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Solution

The fourth proportional to 305,075.76, 421,004.66 and 185,843.76 is: 256,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,075.76 : 421,004.66 = 185,843.76 : x
  2. Step 2: Convert to fraction form
    305,075.76/421,004.66 = 185,843.76/x
  3. Step 3: Cross multiply
    305,075.76x = 421,004.66 × 185,843.76
  4. Step 4: Simplify right side
    305,075.76x = 78,241,088,991.92
  5. Step 5: Solve for x
    x = 78,241,088,991.92/305,075.76
  6. Step 6: Final answer
    x = 256,464.46

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1.5x scale

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.