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Finding the Fourth Proportional to 400,228.40, 599,467.80 and 355,905.20

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Solution

The fourth proportional to 400,228.40, 599,467.80 and 355,905.20 is: 533,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,228.40 : 599,467.80 = 355,905.20 : x
  2. Step 2: Convert to fraction form
    400,228.40/599,467.80 = 355,905.20/x
  3. Step 3: Cross multiply
    400,228.40x = 599,467.80 × 355,905.20
  4. Step 4: Simplify right side
    400,228.40x = 213,353,707,252.56
  5. Step 5: Solve for x
    x = 213,353,707,252.56/400,228.40
  6. Step 6: Final answer
    x = 533,079.88

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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.