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Finding the Fourth Proportional to 209,660.40, 314,490.60 and 139,676.40

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Solution

The fourth proportional to 209,660.40, 314,490.60 and 139,676.40 is: 209,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,660.40 : 314,490.60 = 139,676.40 : x
  2. Step 2: Convert to fraction form
    209,660.40/314,490.60 = 139,676.40/x
  3. Step 3: Cross multiply
    209,660.40x = 314,490.60 × 139,676.40
  4. Step 4: Simplify right side
    209,660.40x = 43,926,914,841.84
  5. Step 5: Solve for x
    x = 43,926,914,841.84/209,660.40
  6. Step 6: Final answer
    x = 209,514.60

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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.