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Finding the Fourth Proportional to 298,998.20, 448,518.90 and 99,457.40

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Solution

The fourth proportional to 298,998.20, 448,518.90 and 99,457.40 is: 149,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,998.20 : 448,518.90 = 99,457.40 : x
  2. Step 2: Convert to fraction form
    298,998.20/448,518.90 = 99,457.40/x
  3. Step 3: Cross multiply
    298,998.20x = 448,518.90 × 99,457.40
  4. Step 4: Simplify right side
    298,998.20x = 44,608,523,644.86
  5. Step 5: Solve for x
    x = 44,608,523,644.86/298,998.20
  6. Step 6: Final answer
    x = 149,193.28

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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.