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Finding the Fourth Proportional to 521,157.53, 782,453.75 and 265,163.10

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Solution

The fourth proportional to 521,157.53, 782,453.75 and 265,163.10 is: 398,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,157.53 : 782,453.75 = 265,163.10 : x
  2. Step 2: Convert to fraction form
    521,157.53/782,453.75 = 265,163.10/x
  3. Step 3: Cross multiply
    521,157.53x = 782,453.75 × 265,163.10
  4. Step 4: Simplify right side
    521,157.53x = 207,477,860,630.81
  5. Step 5: Solve for x
    x = 207,477,860,630.81/521,157.53
  6. Step 6: Final answer
    x = 398,109.69

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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.