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Finding the Fourth Proportional to 265,054.40, 397,466.40 and 78,027.20

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Solution

The fourth proportional to 265,054.40, 397,466.40 and 78,027.20 is: 117,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,054.40 : 397,466.40 = 78,027.20 : x
  2. Step 2: Convert to fraction form
    265,054.40/397,466.40 = 78,027.20/x
  3. Step 3: Cross multiply
    265,054.40x = 397,466.40 × 78,027.20
  4. Step 4: Simplify right side
    265,054.40x = 31,013,190,286.08
  5. Step 5: Solve for x
    x = 31,013,190,286.08/265,054.40
  6. Step 6: Final answer
    x = 117,006.89

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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.