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Finding the Fourth Proportional to 213,783.40, 321,452.70 and 209,117.80

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Solution

The fourth proportional to 213,783.40, 321,452.70 and 209,117.80 is: 314,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,783.40 : 321,452.70 = 209,117.80 : x
  2. Step 2: Convert to fraction form
    213,783.40/321,452.70 = 209,117.80/x
  3. Step 3: Cross multiply
    213,783.40x = 321,452.70 × 209,117.80
  4. Step 4: Simplify right side
    213,783.40x = 67,221,481,428.06
  5. Step 5: Solve for x
    x = 67,221,481,428.06/213,783.40
  6. Step 6: Final answer
    x = 314,437.33

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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.