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Finding the Fourth Proportional to 265,620, 398,508.03 and 78,636.36

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Solution

The fourth proportional to 265,620, 398,508.03 and 78,636.36 is: 117,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,620 : 398,508.03 = 78,636.36 : x
  2. Step 2: Convert to fraction form
    265,620/398,508.03 = 78,636.36/x
  3. Step 3: Cross multiply
    265,620x = 398,508.03 × 78,636.36
  4. Step 4: Simplify right side
    265,620x = 31,337,220,909.97
  5. Step 5: Solve for x
    x = 31,337,220,909.97/265,620
  6. Step 6: Final answer
    x = 117,977.64

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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.