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Finding the Fourth Proportional to 290,579.64, 435,894.54 and 80,217.60

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Solution

The fourth proportional to 290,579.64, 435,894.54 and 80,217.60 is: 120,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,579.64 : 435,894.54 = 80,217.60 : x
  2. Step 2: Convert to fraction form
    290,579.64/435,894.54 = 80,217.60/x
  3. Step 3: Cross multiply
    290,579.64x = 435,894.54 × 80,217.60
  4. Step 4: Simplify right side
    290,579.64x = 34,966,413,851.90
  5. Step 5: Solve for x
    x = 34,966,413,851.90/290,579.64
  6. Step 6: Final answer
    x = 120,333.32

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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.