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Finding the Fourth Proportional to 512,464.40, 768,811.80 and 157,494.80

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Solution

The fourth proportional to 512,464.40, 768,811.80 and 157,494.80 is: 236,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,464.40 : 768,811.80 = 157,494.80 : x
  2. Step 2: Convert to fraction form
    512,464.40/768,811.80 = 157,494.80/x
  3. Step 3: Cross multiply
    512,464.40x = 768,811.80 × 157,494.80
  4. Step 4: Simplify right side
    512,464.40x = 121,083,860,678.64
  5. Step 5: Solve for x
    x = 121,083,860,678.64/512,464.40
  6. Step 6: Final answer
    x = 236,277.60

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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.