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Finding the Fourth Proportional to 314,687.46, 434,268.74 and 171,447.50

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Solution

The fourth proportional to 314,687.46, 434,268.74 and 171,447.50 is: 236,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,687.46 : 434,268.74 = 171,447.50 : x
  2. Step 2: Convert to fraction form
    314,687.46/434,268.74 = 171,447.50/x
  3. Step 3: Cross multiply
    314,687.46x = 434,268.74 × 171,447.50
  4. Step 4: Simplify right side
    314,687.46x = 74,454,289,801.15
  5. Step 5: Solve for x
    x = 74,454,289,801.15/314,687.46
  6. Step 6: Final answer
    x = 236,597.57

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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.