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Finding the Fourth Proportional to 311,430.56, 429,774.20 and 168,190.64

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Solution

The fourth proportional to 311,430.56, 429,774.20 and 168,190.64 is: 232,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,430.56 : 429,774.20 = 168,190.64 : x
  2. Step 2: Convert to fraction form
    311,430.56/429,774.20 = 168,190.64/x
  3. Step 3: Cross multiply
    311,430.56x = 429,774.20 × 168,190.64
  4. Step 4: Simplify right side
    311,430.56x = 72,283,997,753.49
  5. Step 5: Solve for x
    x = 72,283,997,753.49/311,430.56
  6. Step 6: Final answer
    x = 232,103.10

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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.