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Finding the Fourth Proportional to 314,725.87, 434,321.76 and 171,485.94

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Solution

The fourth proportional to 314,725.87, 434,321.76 and 171,485.94 is: 236,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,725.87 : 434,321.76 = 171,485.94 : x
  2. Step 2: Convert to fraction form
    314,725.87/434,321.76 = 171,485.94/x
  3. Step 3: Cross multiply
    314,725.87x = 434,321.76 × 171,485.94
  4. Step 4: Simplify right side
    314,725.87x = 74,480,075,276.05
  5. Step 5: Solve for x
    x = 74,480,075,276.05/314,725.87
  6. Step 6: Final answer
    x = 236,650.63

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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.