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Finding the Fourth Proportional to 319,467.60, 478,204.20 and 235,322.64

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Solution

The fourth proportional to 319,467.60, 478,204.20 and 235,322.64 is: 352,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,467.60 : 478,204.20 = 235,322.64 : x
  2. Step 2: Convert to fraction form
    319,467.60/478,204.20 = 235,322.64/x
  3. Step 3: Cross multiply
    319,467.60x = 478,204.20 × 235,322.64
  4. Step 4: Simplify right side
    319,467.60x = 112,532,274,803.09
  5. Step 5: Solve for x
    x = 112,532,274,803.09/319,467.60
  6. Step 6: Final answer
    x = 352,249.41

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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.