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Finding the Fourth Proportional to 420,625.85, 630,300.47 and 308,380.82

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Solution

The fourth proportional to 420,625.85, 630,300.47 and 308,380.82 is: 462,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,625.85 : 630,300.47 = 308,380.82 : x
  2. Step 2: Convert to fraction form
    420,625.85/630,300.47 = 308,380.82/x
  3. Step 3: Cross multiply
    420,625.85x = 630,300.47 × 308,380.82
  4. Step 4: Simplify right side
    420,625.85x = 194,372,571,091.58
  5. Step 5: Solve for x
    x = 194,372,571,091.58/420,625.85
  6. Step 6: Final answer
    x = 462,103.25

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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.