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Finding the Fourth Proportional to 298,339.86, 447,403.23 and 98,623.38

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Solution

The fourth proportional to 298,339.86, 447,403.23 and 98,623.38 is: 147,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,339.86 : 447,403.23 = 98,623.38 : x
  2. Step 2: Convert to fraction form
    298,339.86/447,403.23 = 98,623.38/x
  3. Step 3: Cross multiply
    298,339.86x = 447,403.23 × 98,623.38
  4. Step 4: Simplify right side
    298,339.86x = 44,124,418,765.52
  5. Step 5: Solve for x
    x = 44,124,418,765.52/298,339.86
  6. Step 6: Final answer
    x = 147,899.84

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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.