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Finding the Fourth Proportional to 230,114.40, 345,171.60 and 213,007.20

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Solution

The fourth proportional to 230,114.40, 345,171.60 and 213,007.20 is: 319,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,114.40 : 345,171.60 = 213,007.20 : x
  2. Step 2: Convert to fraction form
    230,114.40/345,171.60 = 213,007.20/x
  3. Step 3: Cross multiply
    230,114.40x = 345,171.60 × 213,007.20
  4. Step 4: Simplify right side
    230,114.40x = 73,524,036,035.52
  5. Step 5: Solve for x
    x = 73,524,036,035.52/230,114.40
  6. Step 6: Final answer
    x = 319,510.80

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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.