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Finding the Fourth Proportional to 978,914,694.40, 1,468,372,041.60 and 737,049,990.40

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Solution

The fourth proportional to 978,914,694.40, 1,468,372,041.60 and 737,049,990.40 is: 1,105,574,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,914,694.40 : 1,468,372,041.60 = 737,049,990.40 : x
  2. Step 2: Convert to fraction form
    978,914,694.40/1,468,372,041.60 = 737,049,990.40/x
  3. Step 3: Cross multiply
    978,914,694.40x = 1,468,372,041.60 × 737,049,990.40
  4. Step 4: Simplify right side
    978,914,694.40x = 1,082,263,599,164,908,288
  5. Step 5: Solve for x
    x = 1,082,263,599,164,908,288/978,914,694.40
  6. Step 6: Final answer
    x = 1,105,574,985.60

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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.