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Finding the Fourth Proportional to 384,632.88, 577,003.92 and 118,415.52

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Solution

The fourth proportional to 384,632.88, 577,003.92 and 118,415.52 is: 177,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,632.88 : 577,003.92 = 118,415.52 : x
  2. Step 2: Convert to fraction form
    384,632.88/577,003.92 = 118,415.52/x
  3. Step 3: Cross multiply
    384,632.88x = 577,003.92 × 118,415.52
  4. Step 4: Simplify right side
    384,632.88x = 68,326,219,228.84
  5. Step 5: Solve for x
    x = 68,326,219,228.84/384,632.88
  6. Step 6: Final answer
    x = 177,640.09

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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.