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Finding the Fourth Proportional to 497,172, 745,855.44 and 197,596.72

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Solution

The fourth proportional to 497,172, 745,855.44 and 197,596.72 is: 296,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,172 : 745,855.44 = 197,596.72 : x
  2. Step 2: Convert to fraction form
    497,172/745,855.44 = 197,596.72/x
  3. Step 3: Cross multiply
    497,172x = 745,855.44 × 197,596.72
  4. Step 4: Simplify right side
    497,172x = 147,378,588,538.16
  5. Step 5: Solve for x
    x = 147,378,588,538.16/497,172
  6. Step 6: Final answer
    x = 296,433.81

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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.