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Finding the Fourth Proportional to 313,759.36, 470,634.90 and 77,104.12

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Solution

The fourth proportional to 313,759.36, 470,634.90 and 77,104.12 is: 115,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,759.36 : 470,634.90 = 77,104.12 : x
  2. Step 2: Convert to fraction form
    313,759.36/470,634.90 = 77,104.12/x
  3. Step 3: Cross multiply
    313,759.36x = 470,634.90 × 77,104.12
  4. Step 4: Simplify right side
    313,759.36x = 36,287,889,805.79
  5. Step 5: Solve for x
    x = 36,287,889,805.79/313,759.36
  6. Step 6: Final answer
    x = 115,655.16

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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.