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Finding the Fourth Proportional to 209,223.80, 313,835.70 and 129,325.40

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Solution

The fourth proportional to 209,223.80, 313,835.70 and 129,325.40 is: 193,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,223.80 : 313,835.70 = 129,325.40 : x
  2. Step 2: Convert to fraction form
    209,223.80/313,835.70 = 129,325.40/x
  3. Step 3: Cross multiply
    209,223.80x = 313,835.70 × 129,325.40
  4. Step 4: Simplify right side
    209,223.80x = 40,586,927,436.78
  5. Step 5: Solve for x
    x = 40,586,927,436.78/209,223.80
  6. Step 6: Final answer
    x = 193,988.10

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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.