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Finding the Fourth Proportional to 314,745.19, 434,348.90 and 171,505.23

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Solution

The fourth proportional to 314,745.19, 434,348.90 and 171,505.23 is: 236,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,745.19 : 434,348.90 = 171,505.23 : x
  2. Step 2: Convert to fraction form
    314,745.19/434,348.90 = 171,505.23/x
  3. Step 3: Cross multiply
    314,745.19x = 434,348.90 × 171,505.23
  4. Step 4: Simplify right side
    314,745.19x = 74,493,106,151.56
  5. Step 5: Solve for x
    x = 74,493,106,151.56/314,745.19
  6. Step 6: Final answer
    x = 236,677.51

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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.