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Finding the Fourth Proportional to 384,986.80, 577,493.40 and 118,745.20

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Solution

The fourth proportional to 384,986.80, 577,493.40 and 118,745.20 is: 178,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,986.80 : 577,493.40 = 118,745.20 : x
  2. Step 2: Convert to fraction form
    384,986.80/577,493.40 = 118,745.20/x
  3. Step 3: Cross multiply
    384,986.80x = 577,493.40 × 118,745.20
  4. Step 4: Simplify right side
    384,986.80x = 68,574,569,281.68
  5. Step 5: Solve for x
    x = 68,574,569,281.68/384,986.80
  6. Step 6: Final answer
    x = 178,121.87

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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.