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Finding the Fourth Proportional to 475,355.96, 656,289.50 and 305,884.60

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Solution

The fourth proportional to 475,355.96, 656,289.50 and 305,884.60 is: 422,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,355.96 : 656,289.50 = 305,884.60 : x
  2. Step 2: Convert to fraction form
    475,355.96/656,289.50 = 305,884.60/x
  3. Step 3: Cross multiply
    475,355.96x = 656,289.50 × 305,884.60
  4. Step 4: Simplify right side
    475,355.96x = 200,748,851,191.70
  5. Step 5: Solve for x
    x = 200,748,851,191.70/475,355.96
  6. Step 6: Final answer
    x = 422,312.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.