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Finding the Fourth Proportional to 314,680.56, 434,269.56 and 178,720.32

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Solution

The fourth proportional to 314,680.56, 434,269.56 and 178,720.32 is: 246,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,680.56 : 434,269.56 = 178,720.32 : x
  2. Step 2: Convert to fraction form
    314,680.56/434,269.56 = 178,720.32/x
  3. Step 3: Cross multiply
    314,680.56x = 434,269.56 × 178,720.32
  4. Step 4: Simplify right side
    314,680.56x = 77,612,794,729.46
  5. Step 5: Solve for x
    x = 77,612,794,729.46/314,680.56
  6. Step 6: Final answer
    x = 246,639.94

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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.