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Finding the Fourth Proportional to 265,467.20, 398,200.80 and 78,478.70

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Solution

The fourth proportional to 265,467.20, 398,200.80 and 78,478.70 is: 117,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,467.20 : 398,200.80 = 78,478.70 : x
  2. Step 2: Convert to fraction form
    265,467.20/398,200.80 = 78,478.70/x
  3. Step 3: Cross multiply
    265,467.20x = 398,200.80 × 78,478.70
  4. Step 4: Simplify right side
    265,467.20x = 31,250,281,122.96
  5. Step 5: Solve for x
    x = 31,250,281,122.96/265,467.20
  6. Step 6: Final answer
    x = 117,718.05

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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.