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Finding the Fourth Proportional to 559,873,791.20, 839,810,686.80 and 313,978,008.80

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Solution

The fourth proportional to 559,873,791.20, 839,810,686.80 and 313,978,008.80 is: 470,967,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,791.20 : 839,810,686.80 = 313,978,008.80 : x
  2. Step 2: Convert to fraction form
    559,873,791.20/839,810,686.80 = 313,978,008.80/x
  3. Step 3: Cross multiply
    559,873,791.20x = 839,810,686.80 × 313,978,008.80
  4. Step 4: Simplify right side
    559,873,791.20x = 263,682,087,210,424,448
  5. Step 5: Solve for x
    x = 263,682,087,210,424,448/559,873,791.20
  6. Step 6: Final answer
    x = 470,967,013.20

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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.