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Finding the Fourth Proportional to 313,995.66, 470,993.61 and 77,342.94

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Solution

The fourth proportional to 313,995.66, 470,993.61 and 77,342.94 is: 116,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,995.66 : 470,993.61 = 77,342.94 : x
  2. Step 2: Convert to fraction form
    313,995.66/470,993.61 = 77,342.94/x
  3. Step 3: Cross multiply
    313,995.66x = 470,993.61 × 77,342.94
  4. Step 4: Simplify right side
    313,995.66x = 36,428,030,518.61
  5. Step 5: Solve for x
    x = 36,428,030,518.61/313,995.66
  6. Step 6: Final answer
    x = 116,014.44

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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.