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Finding the Fourth Proportional to 420,364.81, 630,529.57 and 195,647.95

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Solution

The fourth proportional to 420,364.81, 630,529.57 and 195,647.95 is: 293,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,364.81 : 630,529.57 = 195,647.95 : x
  2. Step 2: Convert to fraction form
    420,364.81/630,529.57 = 195,647.95/x
  3. Step 3: Cross multiply
    420,364.81x = 630,529.57 × 195,647.95
  4. Step 4: Simplify right side
    420,364.81x = 123,361,816,453.12
  5. Step 5: Solve for x
    x = 123,361,816,453.12/420,364.81
  6. Step 6: Final answer
    x = 293,463.71

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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.