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Finding the Fourth Proportional to 265,258.13, 397,960.16 and 78,269.63

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Solution

The fourth proportional to 265,258.13, 397,960.16 and 78,269.63 is: 117,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,258.13 : 397,960.16 = 78,269.63 : x
  2. Step 2: Convert to fraction form
    265,258.13/397,960.16 = 78,269.63/x
  3. Step 3: Cross multiply
    265,258.13x = 397,960.16 × 78,269.63
  4. Step 4: Simplify right side
    265,258.13x = 31,148,192,096.79
  5. Step 5: Solve for x
    x = 31,148,192,096.79/265,258.13
  6. Step 6: Final answer
    x = 117,425.97

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1.5x scale

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.