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Finding the Fourth Proportional to 420,703.86, 630,912.70 and 136,317.30

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Solution

The fourth proportional to 420,703.86, 630,912.70 and 136,317.30 is: 204,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,703.86 : 630,912.70 = 136,317.30 : x
  2. Step 2: Convert to fraction form
    420,703.86/630,912.70 = 136,317.30/x
  3. Step 3: Cross multiply
    420,703.86x = 630,912.70 × 136,317.30
  4. Step 4: Simplify right side
    420,703.86x = 86,004,315,799.71
  5. Step 5: Solve for x
    x = 86,004,315,799.71/420,703.86
  6. Step 6: Final answer
    x = 204,429.59

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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.