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Finding the Fourth Proportional to 400,024.80, 600,728.40 and 213,400.80

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Solution

The fourth proportional to 400,024.80, 600,728.40 and 213,400.80 is: 320,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,024.80 : 600,728.40 = 213,400.80 : x
  2. Step 2: Convert to fraction form
    400,024.80/600,728.40 = 213,400.80/x
  3. Step 3: Cross multiply
    400,024.80x = 600,728.40 × 213,400.80
  4. Step 4: Simplify right side
    400,024.80x = 128,195,921,142.72
  5. Step 5: Solve for x
    x = 128,195,921,142.72/400,024.80
  6. Step 6: Final answer
    x = 320,469.93

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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.