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Finding the Fourth Proportional to 318,343.90, 476,955.32 and 299,380.17

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Solution

The fourth proportional to 318,343.90, 476,955.32 and 299,380.17 is: 448,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,343.90 : 476,955.32 = 299,380.17 : x
  2. Step 2: Convert to fraction form
    318,343.90/476,955.32 = 299,380.17/x
  3. Step 3: Cross multiply
    318,343.90x = 476,955.32 × 299,380.17
  4. Step 4: Simplify right side
    318,343.90x = 142,790,964,784.00
  5. Step 5: Solve for x
    x = 142,790,964,784.00/318,343.90
  6. Step 6: Final answer
    x = 448,543.12

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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.