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Finding the Fourth Proportional to 978,996,474.72, 1,468,063,785.68 and 518,826,830.56

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Solution

The fourth proportional to 978,996,474.72, 1,468,063,785.68 and 518,826,830.56 is: 778,011,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,996,474.72 : 1,468,063,785.68 = 518,826,830.56 : x
  2. Step 2: Convert to fraction form
    978,996,474.72/1,468,063,785.68 = 518,826,830.56/x
  3. Step 3: Cross multiply
    978,996,474.72x = 1,468,063,785.68 × 518,826,830.56
  4. Step 4: Simplify right side
    978,996,474.72x = 761,670,880,984,269,568
  5. Step 5: Solve for x
    x = 761,670,880,984,269,568/978,996,474.72
  6. Step 6: Final answer
    x = 778,011,873.03

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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.