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Finding the Fourth Proportional to 209,659.60, 314,143.80 and 174,408.40

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Solution

The fourth proportional to 209,659.60, 314,143.80 and 174,408.40 is: 261,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,659.60 : 314,143.80 = 174,408.40 : x
  2. Step 2: Convert to fraction form
    209,659.60/314,143.80 = 174,408.40/x
  3. Step 3: Cross multiply
    209,659.60x = 314,143.80 × 174,408.40
  4. Step 4: Simplify right side
    209,659.60x = 54,789,317,527.92
  5. Step 5: Solve for x
    x = 54,789,317,527.92/209,659.60
  6. Step 6: Final answer
    x = 261,325.11

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1.5x scale

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.