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Finding the Fourth Proportional to 298,402.84, 447,279.18 and 148,753.72

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Solution

The fourth proportional to 298,402.84, 447,279.18 and 148,753.72 is: 222,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,402.84 : 447,279.18 = 148,753.72 : x
  2. Step 2: Convert to fraction form
    298,402.84/447,279.18 = 148,753.72/x
  3. Step 3: Cross multiply
    298,402.84x = 447,279.18 × 148,753.72
  4. Step 4: Simplify right side
    298,402.84x = 66,534,441,903.55
  5. Step 5: Solve for x
    x = 66,534,441,903.55/298,402.84
  6. Step 6: Final answer
    x = 222,968.53

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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.