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Finding the Fourth Proportional to 209,631.60, 314,101.80 and 174,380.40

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Solution

The fourth proportional to 209,631.60, 314,101.80 and 174,380.40 is: 261,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,631.60 : 314,101.80 = 174,380.40 : x
  2. Step 2: Convert to fraction form
    209,631.60/314,101.80 = 174,380.40/x
  3. Step 3: Cross multiply
    209,631.60x = 314,101.80 × 174,380.40
  4. Step 4: Simplify right side
    209,631.60x = 54,773,197,524.72
  5. Step 5: Solve for x
    x = 54,773,197,524.72/209,631.60
  6. Step 6: Final answer
    x = 261,283.12

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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.