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Finding the Fourth Proportional to 264,911.40, 397,376.70 and 77,941.80

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Solution

The fourth proportional to 264,911.40, 397,376.70 and 77,941.80 is: 116,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,911.40 : 397,376.70 = 77,941.80 : x
  2. Step 2: Convert to fraction form
    264,911.40/397,376.70 = 77,941.80/x
  3. Step 3: Cross multiply
    264,911.40x = 397,376.70 × 77,941.80
  4. Step 4: Simplify right side
    264,911.40x = 30,972,255,276.06
  5. Step 5: Solve for x
    x = 30,972,255,276.06/264,911.40
  6. Step 6: Final answer
    x = 116,915.52

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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.