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Finding the Fourth Proportional to 384,271.20, 576,406.80 and 197,647.20

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Solution

The fourth proportional to 384,271.20, 576,406.80 and 197,647.20 is: 296,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,271.20 : 576,406.80 = 197,647.20 : x
  2. Step 2: Convert to fraction form
    384,271.20/576,406.80 = 197,647.20/x
  3. Step 3: Cross multiply
    384,271.20x = 576,406.80 × 197,647.20
  4. Step 4: Simplify right side
    384,271.20x = 113,925,190,080.96
  5. Step 5: Solve for x
    x = 113,925,190,080.96/384,271.20
  6. Step 6: Final answer
    x = 296,470.80

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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.