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Finding the Fourth Proportional to 898,978,468.20, 1,346,200,220.70 and 717,579,940.20

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Solution

The fourth proportional to 898,978,468.20, 1,346,200,220.70 and 717,579,940.20 is: 1,074,559,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,978,468.20 : 1,346,200,220.70 = 717,579,940.20 : x
  2. Step 2: Convert to fraction form
    898,978,468.20/1,346,200,220.70 = 717,579,940.20/x
  3. Step 3: Cross multiply
    898,978,468.20x = 1,346,200,220.70 × 717,579,940.20
  4. Step 4: Simplify right side
    898,978,468.20x = 966,006,273,867,132,928
  5. Step 5: Solve for x
    x = 966,006,273,867,132,928/898,978,468.20
  6. Step 6: Final answer
    x = 1,074,559,967.83

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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.