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Finding the Fourth Proportional to 452,354.80, 677,498.76 and 215,863.60

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Solution

The fourth proportional to 452,354.80, 677,498.76 and 215,863.60 is: 323,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,354.80 : 677,498.76 = 215,863.60 : x
  2. Step 2: Convert to fraction form
    452,354.80/677,498.76 = 215,863.60/x
  3. Step 3: Cross multiply
    452,354.80x = 677,498.76 × 215,863.60
  4. Step 4: Simplify right side
    452,354.80x = 146,247,321,329.14
  5. Step 5: Solve for x
    x = 146,247,321,329.14/452,354.80
  6. Step 6: Final answer
    x = 323,302.24

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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.