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Finding the Fourth Proportional to 264,718.80, 397,139.76 and 77,744.88

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Solution

The fourth proportional to 264,718.80, 397,139.76 and 77,744.88 is: 116,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,718.80 : 397,139.76 = 77,744.88 : x
  2. Step 2: Convert to fraction form
    264,718.80/397,139.76 = 77,744.88/x
  3. Step 3: Cross multiply
    264,718.80x = 397,139.76 × 77,744.88
  4. Step 4: Simplify right side
    264,718.80x = 30,875,582,984.43
  5. Step 5: Solve for x
    x = 30,875,582,984.43/264,718.80
  6. Step 6: Final answer
    x = 116,635.40

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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.