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Finding the Fourth Proportional to 978,905,388.30, 1,468,358,082.45 and 897,276,050.70

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Solution

The fourth proportional to 978,905,388.30, 1,468,358,082.45 and 897,276,050.70 is: 1,345,914,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,905,388.30 : 1,468,358,082.45 = 897,276,050.70 : x
  2. Step 2: Convert to fraction form
    978,905,388.30/1,468,358,082.45 = 897,276,050.70/x
  3. Step 3: Cross multiply
    978,905,388.30x = 1,468,358,082.45 × 897,276,050.70
  4. Step 4: Simplify right side
    978,905,388.30x = 1,317,522,541,234,161,152
  5. Step 5: Solve for x
    x = 1,317,522,541,234,161,152/978,905,388.30
  6. Step 6: Final answer
    x = 1,345,914,076.05

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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.