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Finding the Fourth Proportional to 265,062.40, 397,457.40 and 78,049.60

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Solution

The fourth proportional to 265,062.40, 397,457.40 and 78,049.60 is: 117,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,062.40 : 397,457.40 = 78,049.60 : x
  2. Step 2: Convert to fraction form
    265,062.40/397,457.40 = 78,049.60/x
  3. Step 3: Cross multiply
    265,062.40x = 397,457.40 × 78,049.60
  4. Step 4: Simplify right side
    265,062.40x = 31,021,391,087.04
  5. Step 5: Solve for x
    x = 31,021,391,087.04/265,062.40
  6. Step 6: Final answer
    x = 117,034.29

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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.