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Finding the Fourth Proportional to 409,743,997.80, 614,615,996.70 and 366,697,276.80

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Solution

The fourth proportional to 409,743,997.80, 614,615,996.70 and 366,697,276.80 is: 550,045,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,743,997.80 : 614,615,996.70 = 366,697,276.80 : x
  2. Step 2: Convert to fraction form
    409,743,997.80/614,615,996.70 = 366,697,276.80/x
  3. Step 3: Cross multiply
    409,743,997.80x = 614,615,996.70 × 366,697,276.80
  4. Step 4: Simplify right side
    409,743,997.80x = 225,378,012,267,607,808
  5. Step 5: Solve for x
    x = 225,378,012,267,607,808/409,743,997.80
  6. Step 6: Final answer
    x = 550,045,915.20

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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.