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Finding the Fourth Proportional to 263,068.80, 394,700.40 and 105,410.40

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Solution

The fourth proportional to 263,068.80, 394,700.40 and 105,410.40 is: 158,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,068.80 : 394,700.40 = 105,410.40 : x
  2. Step 2: Convert to fraction form
    263,068.80/394,700.40 = 105,410.40/x
  3. Step 3: Cross multiply
    263,068.80x = 394,700.40 × 105,410.40
  4. Step 4: Simplify right side
    263,068.80x = 41,605,527,044.16
  5. Step 5: Solve for x
    x = 41,605,527,044.16/263,068.80
  6. Step 6: Final answer
    x = 158,154.55

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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.