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Finding the Fourth Proportional to 458,019,110.10, 687,028,665.15 and 458,019,110.10

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Solution

The fourth proportional to 458,019,110.10, 687,028,665.15 and 458,019,110.10 is: 687,028,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,019,110.10 : 687,028,665.15 = 458,019,110.10 : x
  2. Step 2: Convert to fraction form
    458,019,110.10/687,028,665.15 = 458,019,110.10/x
  3. Step 3: Cross multiply
    458,019,110.10x = 687,028,665.15 × 458,019,110.10
  4. Step 4: Simplify right side
    458,019,110.10x = 314,672,257,825,193,920
  5. Step 5: Solve for x
    x = 314,672,257,825,193,920/458,019,110.10
  6. Step 6: Final answer
    x = 687,028,665.15

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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.