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Finding the Fourth Proportional to 653,424,021.60, 978,941,638.80 and 531,595,874.40

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Solution

The fourth proportional to 653,424,021.60, 978,941,638.80 and 531,595,874.40 is: 796,422,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,424,021.60 : 978,941,638.80 = 531,595,874.40 : x
  2. Step 2: Convert to fraction form
    653,424,021.60/978,941,638.80 = 531,595,874.40/x
  3. Step 3: Cross multiply
    653,424,021.60x = 978,941,638.80 × 531,595,874.40
  4. Step 4: Simplify right side
    653,424,021.60x = 520,401,336,464,454,912
  5. Step 5: Solve for x
    x = 520,401,336,464,454,912/653,424,021.60
  6. Step 6: Final answer
    x = 796,422,107.64

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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.