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Finding the Fourth Proportional to 314,954.72, 434,618.77 and 178,969.79

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Solution

The fourth proportional to 314,954.72, 434,618.77 and 178,969.79 is: 246,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,954.72 : 434,618.77 = 178,969.79 : x
  2. Step 2: Convert to fraction form
    314,954.72/434,618.77 = 178,969.79/x
  3. Step 3: Cross multiply
    314,954.72x = 434,618.77 × 178,969.79
  4. Step 4: Simplify right side
    314,954.72x = 77,783,629,102.11
  5. Step 5: Solve for x
    x = 77,783,629,102.11/314,954.72
  6. Step 6: Final answer
    x = 246,967.66

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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.