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Finding the Fourth Proportional to 488,328.96, 731,181 and 309,869.76

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Solution

The fourth proportional to 488,328.96, 731,181 and 309,869.76 is: 463,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,328.96 : 731,181 = 309,869.76 : x
  2. Step 2: Convert to fraction form
    488,328.96/731,181 = 309,869.76/x
  3. Step 3: Cross multiply
    488,328.96x = 731,181 × 309,869.76
  4. Step 4: Simplify right side
    488,328.96x = 226,570,880,986.56
  5. Step 5: Solve for x
    x = 226,570,880,986.56/488,328.96
  6. Step 6: Final answer
    x = 463,971.83

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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.