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Finding the Fourth Proportional to 384,666.72, 577,065.96 and 118,422

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Solution

The fourth proportional to 384,666.72, 577,065.96 and 118,422 is: 177,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,666.72 : 577,065.96 = 118,422 : x
  2. Step 2: Convert to fraction form
    384,666.72/577,065.96 = 118,422/x
  3. Step 3: Cross multiply
    384,666.72x = 577,065.96 × 118,422
  4. Step 4: Simplify right side
    384,666.72x = 68,337,305,115.12
  5. Step 5: Solve for x
    x = 68,337,305,115.12/384,666.72
  6. Step 6: Final answer
    x = 177,653.28

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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.