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Finding the Fourth Proportional to 314,466.94, 434,234.10 and 304,299.10

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Solution

The fourth proportional to 314,466.94, 434,234.10 and 304,299.10 is: 420,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,466.94 : 434,234.10 = 304,299.10 : x
  2. Step 2: Convert to fraction form
    314,466.94/434,234.10 = 304,299.10/x
  3. Step 3: Cross multiply
    314,466.94x = 434,234.10 × 304,299.10
  4. Step 4: Simplify right side
    314,466.94x = 132,137,045,819.31
  5. Step 5: Solve for x
    x = 132,137,045,819.31/314,466.94
  6. Step 6: Final answer
    x = 420,193.76

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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.