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Finding the Fourth Proportional to 313,642.56, 470,463.84 and 76,983.24

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Solution

The fourth proportional to 313,642.56, 470,463.84 and 76,983.24 is: 115,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,642.56 : 470,463.84 = 76,983.24 : x
  2. Step 2: Convert to fraction form
    313,642.56/470,463.84 = 76,983.24/x
  3. Step 3: Cross multiply
    313,642.56x = 470,463.84 × 76,983.24
  4. Step 4: Simplify right side
    313,642.56x = 36,217,830,706.04
  5. Step 5: Solve for x
    x = 36,217,830,706.04/313,642.56
  6. Step 6: Final answer
    x = 115,474.86

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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.