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Finding the Fourth Proportional to 400,492.06, 600,828.10 and 134,245.78

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Solution

The fourth proportional to 400,492.06, 600,828.10 and 134,245.78 is: 201,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,492.06 : 600,828.10 = 134,245.78 : x
  2. Step 2: Convert to fraction form
    400,492.06/600,828.10 = 134,245.78/x
  3. Step 3: Cross multiply
    400,492.06x = 600,828.10 × 134,245.78
  4. Step 4: Simplify right side
    400,492.06x = 80,658,636,930.42
  5. Step 5: Solve for x
    x = 80,658,636,930.42/400,492.06
  6. Step 6: Final answer
    x = 201,398.84

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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.