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Finding the Fourth Proportional to 311,420.58, 429,760.34 and 168,180.60

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Solution

The fourth proportional to 311,420.58, 429,760.34 and 168,180.60 is: 232,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,420.58 : 429,760.34 = 168,180.60 : x
  2. Step 2: Convert to fraction form
    311,420.58/429,760.34 = 168,180.60/x
  3. Step 3: Cross multiply
    311,420.58x = 429,760.34 × 168,180.60
  4. Step 4: Simplify right side
    311,420.58x = 72,277,351,837.40
  5. Step 5: Solve for x
    x = 72,277,351,837.40/311,420.58
  6. Step 6: Final answer
    x = 232,089.20

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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.