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Finding the Fourth Proportional to 313,997.16, 470,995.86 and 77,344.44

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Solution

The fourth proportional to 313,997.16, 470,995.86 and 77,344.44 is: 116,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,997.16 : 470,995.86 = 77,344.44 : x
  2. Step 2: Convert to fraction form
    313,997.16/470,995.86 = 77,344.44/x
  3. Step 3: Cross multiply
    313,997.16x = 470,995.86 × 77,344.44
  4. Step 4: Simplify right side
    313,997.16x = 36,428,911,034.02
  5. Step 5: Solve for x
    x = 36,428,911,034.02/313,997.16
  6. Step 6: Final answer
    x = 116,016.69

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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.