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Finding the Fourth Proportional to 313,659,643.20, 470,489,464.80 and 299,550,868.80

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Solution

The fourth proportional to 313,659,643.20, 470,489,464.80 and 299,550,868.80 is: 449,326,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,659,643.20 : 470,489,464.80 = 299,550,868.80 : x
  2. Step 2: Convert to fraction form
    313,659,643.20/470,489,464.80 = 299,550,868.80/x
  3. Step 3: Cross multiply
    313,659,643.20x = 470,489,464.80 × 299,550,868.80
  4. Step 4: Simplify right side
    313,659,643.20x = 140,935,527,942,087,024
  5. Step 5: Solve for x
    x = 140,935,527,942,087,024/313,659,643.20
  6. Step 6: Final answer
    x = 449,326,303.20

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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.