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Finding the Fourth Proportional to 328,034.10, 492,245.55 and 216,035.40

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Solution

The fourth proportional to 328,034.10, 492,245.55 and 216,035.40 is: 324,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,034.10 : 492,245.55 = 216,035.40 : x
  2. Step 2: Convert to fraction form
    328,034.10/492,245.55 = 216,035.40/x
  3. Step 3: Cross multiply
    328,034.10x = 492,245.55 × 216,035.40
  4. Step 4: Simplify right side
    328,034.10x = 106,342,464,292.47
  5. Step 5: Solve for x
    x = 106,342,464,292.47/328,034.10
  6. Step 6: Final answer
    x = 324,181.13

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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.