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Finding the Fourth Proportional to 265,005.40, 397,517.70 and 78,035.80

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Solution

The fourth proportional to 265,005.40, 397,517.70 and 78,035.80 is: 117,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,005.40 : 397,517.70 = 78,035.80 : x
  2. Step 2: Convert to fraction form
    265,005.40/397,517.70 = 78,035.80/x
  3. Step 3: Cross multiply
    265,005.40x = 397,517.70 × 78,035.80
  4. Step 4: Simplify right side
    265,005.40x = 31,020,611,733.66
  5. Step 5: Solve for x
    x = 31,020,611,733.66/265,005.40
  6. Step 6: Final answer
    x = 117,056.53

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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.