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Finding the Fourth Proportional to 213,907.60, 320,861.40 and 202,502.80

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Solution

The fourth proportional to 213,907.60, 320,861.40 and 202,502.80 is: 303,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,907.60 : 320,861.40 = 202,502.80 : x
  2. Step 2: Convert to fraction form
    213,907.60/320,861.40 = 202,502.80/x
  3. Step 3: Cross multiply
    213,907.60x = 320,861.40 × 202,502.80
  4. Step 4: Simplify right side
    213,907.60x = 64,975,331,911.92
  5. Step 5: Solve for x
    x = 64,975,331,911.92/213,907.60
  6. Step 6: Final answer
    x = 303,754.20

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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.