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Finding the Fourth Proportional to 471,116.89, 650,082.27 and 318,487.20

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Solution

The fourth proportional to 471,116.89, 650,082.27 and 318,487.20 is: 439,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,116.89 : 650,082.27 = 318,487.20 : x
  2. Step 2: Convert to fraction form
    471,116.89/650,082.27 = 318,487.20/x
  3. Step 3: Cross multiply
    471,116.89x = 650,082.27 × 318,487.20
  4. Step 4: Simplify right side
    471,116.89x = 207,042,881,941.94
  5. Step 5: Solve for x
    x = 207,042,881,941.94/471,116.89
  6. Step 6: Final answer
    x = 439,472.42

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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.