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Finding the Fourth Proportional to 420,635.26, 630,428.01 and 210,333.34

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Solution

The fourth proportional to 420,635.26, 630,428.01 and 210,333.34 is: 315,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,635.26 : 630,428.01 = 210,333.34 : x
  2. Step 2: Convert to fraction form
    420,635.26/630,428.01 = 210,333.34/x
  3. Step 3: Cross multiply
    420,635.26x = 630,428.01 × 210,333.34
  4. Step 4: Simplify right side
    420,635.26x = 132,600,028,972.85
  5. Step 5: Solve for x
    x = 132,600,028,972.85/420,635.26
  6. Step 6: Final answer
    x = 315,237.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.