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Finding the Fourth Proportional to 834,663,856.05, 1,257,995,223.43 and 719,469,579.69

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Solution

The fourth proportional to 834,663,856.05, 1,257,995,223.43 and 719,469,579.69 is: 1,084,375,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,663,856.05 : 1,257,995,223.43 = 719,469,579.69 : x
  2. Step 2: Convert to fraction form
    834,663,856.05/1,257,995,223.43 = 719,469,579.69/x
  3. Step 3: Cross multiply
    834,663,856.05x = 1,257,995,223.43 × 719,469,579.69
  4. Step 4: Simplify right side
    834,663,856.05x = 905,089,294,651,411,200
  5. Step 5: Solve for x
    x = 905,089,294,651,411,200/834,663,856.05
  6. Step 6: Final answer
    x = 1,084,375,809.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.