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Finding the Fourth Proportional to 420,367.91, 630,534.20 and 195,651.05

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Solution

The fourth proportional to 420,367.91, 630,534.20 and 195,651.05 is: 293,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,367.91 : 630,534.20 = 195,651.05 : x
  2. Step 2: Convert to fraction form
    420,367.91/630,534.20 = 195,651.05/x
  3. Step 3: Cross multiply
    420,367.91x = 630,534.20 × 195,651.05
  4. Step 4: Simplify right side
    420,367.91x = 123,364,675,627.37
  5. Step 5: Solve for x
    x = 123,364,675,627.37/420,367.91
  6. Step 6: Final answer
    x = 293,468.35

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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.