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Finding the Fourth Proportional to 1,398,598,991.80, 2,098,654,314.90 and 622,364,457.40

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Solution

The fourth proportional to 1,398,598,991.80, 2,098,654,314.90 and 622,364,457.40 is: 933,883,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,598,991.80 : 2,098,654,314.90 = 622,364,457.40 : x
  2. Step 2: Convert to fraction form
    1,398,598,991.80/2,098,654,314.90 = 622,364,457.40/x
  3. Step 3: Cross multiply
    1,398,598,991.80x = 2,098,654,314.90 × 622,364,457.40
  4. Step 4: Simplify right side
    1,398,598,991.80x = 1,306,127,853,962,907,136
  5. Step 5: Solve for x
    x = 1,306,127,853,962,907,136/1,398,598,991.80
  6. Step 6: Final answer
    x = 933,883,022.67

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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.