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Finding the Fourth Proportional to 309,113,803.80, 463,670,705.70 and 165,786,571.80

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Solution

The fourth proportional to 309,113,803.80, 463,670,705.70 and 165,786,571.80 is: 248,679,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,113,803.80 : 463,670,705.70 = 165,786,571.80 : x
  2. Step 2: Convert to fraction form
    309,113,803.80/463,670,705.70 = 165,786,571.80/x
  3. Step 3: Cross multiply
    309,113,803.80x = 463,670,705.70 × 165,786,571.80
  4. Step 4: Simplify right side
    309,113,803.80x = 76,870,376,742,089,728
  5. Step 5: Solve for x
    x = 76,870,376,742,089,728/309,113,803.80
  6. Step 6: Final answer
    x = 248,679,857.70

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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.