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Finding the Fourth Proportional to 264,910.40, 397,228.80 and 77,897.60

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Solution

The fourth proportional to 264,910.40, 397,228.80 and 77,897.60 is: 116,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,910.40 : 397,228.80 = 77,897.60 : x
  2. Step 2: Convert to fraction form
    264,910.40/397,228.80 = 77,897.60/x
  3. Step 3: Cross multiply
    264,910.40x = 397,228.80 × 77,897.60
  4. Step 4: Simplify right side
    264,910.40x = 30,943,170,170.88
  5. Step 5: Solve for x
    x = 30,943,170,170.88/264,910.40
  6. Step 6: Final answer
    x = 116,806.17

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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.