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Finding the Fourth Proportional to 320,008.64, 478,971.30 and 235,735.70

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Solution

The fourth proportional to 320,008.64, 478,971.30 and 235,735.70 is: 352,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,008.64 : 478,971.30 = 235,735.70 : x
  2. Step 2: Convert to fraction form
    320,008.64/478,971.30 = 235,735.70/x
  3. Step 3: Cross multiply
    320,008.64x = 478,971.30 × 235,735.70
  4. Step 4: Simplify right side
    320,008.64x = 112,910,634,685.41
  5. Step 5: Solve for x
    x = 112,910,634,685.41/320,008.64
  6. Step 6: Final answer
    x = 352,836.21

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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.