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Finding the Fourth Proportional to 384,938.82, 577,371 and 118,627.80

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Solution

The fourth proportional to 384,938.82, 577,371 and 118,627.80 is: 177,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,938.82 : 577,371 = 118,627.80 : x
  2. Step 2: Convert to fraction form
    384,938.82/577,371 = 118,627.80/x
  3. Step 3: Cross multiply
    384,938.82x = 577,371 × 118,627.80
  4. Step 4: Simplify right side
    384,938.82x = 68,492,251,513.80
  5. Step 5: Solve for x
    x = 68,492,251,513.80/384,938.82
  6. Step 6: Final answer
    x = 177,930.23

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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.