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Finding the Fourth Proportional to 298,442.86, 412,003.29 and 230,306.74

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Solution

The fourth proportional to 298,442.86, 412,003.29 and 230,306.74 is: 317,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,442.86 : 412,003.29 = 230,306.74 : x
  2. Step 2: Convert to fraction form
    298,442.86/412,003.29 = 230,306.74/x
  3. Step 3: Cross multiply
    298,442.86x = 412,003.29 × 230,306.74
  4. Step 4: Simplify right side
    298,442.86x = 94,887,134,589.17
  5. Step 5: Solve for x
    x = 94,887,134,589.17/298,442.86
  6. Step 6: Final answer
    x = 317,940.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.