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Finding the Fourth Proportional to 1,209,302,892.40, 1,813,954,338.60 and 967,438,188.40

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Solution

The fourth proportional to 1,209,302,892.40, 1,813,954,338.60 and 967,438,188.40 is: 1,451,157,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,302,892.40 : 1,813,954,338.60 = 967,438,188.40 : x
  2. Step 2: Convert to fraction form
    1,209,302,892.40/1,813,954,338.60 = 967,438,188.40/x
  3. Step 3: Cross multiply
    1,209,302,892.40x = 1,813,954,338.60 × 967,438,188.40
  4. Step 4: Simplify right side
    1,209,302,892.40x = 1,754,888,699,175,504,128
  5. Step 5: Solve for x
    x = 1,754,888,699,175,504,128/1,209,302,892.40
  6. Step 6: Final answer
    x = 1,451,157,282.60

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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.