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Finding the Fourth Proportional to 328,653.86, 493,035.26 and 115,366.43

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Solution

The fourth proportional to 328,653.86, 493,035.26 and 115,366.43 is: 173,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,653.86 : 493,035.26 = 115,366.43 : x
  2. Step 2: Convert to fraction form
    328,653.86/493,035.26 = 115,366.43/x
  3. Step 3: Cross multiply
    328,653.86x = 493,035.26 × 115,366.43
  4. Step 4: Simplify right side
    328,653.86x = 56,879,715,692.75
  5. Step 5: Solve for x
    x = 56,879,715,692.75/328,653.86
  6. Step 6: Final answer
    x = 173,068.76

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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.