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Finding the Fourth Proportional to 209,652.80, 313,960.80 and 139,150.40

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Solution

The fourth proportional to 209,652.80, 313,960.80 and 139,150.40 is: 208,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,652.80 : 313,960.80 = 139,150.40 : x
  2. Step 2: Convert to fraction form
    209,652.80/313,960.80 = 139,150.40/x
  3. Step 3: Cross multiply
    209,652.80x = 313,960.80 × 139,150.40
  4. Step 4: Simplify right side
    209,652.80x = 43,687,770,904.32
  5. Step 5: Solve for x
    x = 43,687,770,904.32/209,652.80
  6. Step 6: Final answer
    x = 208,381.53

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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.