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Finding the Fourth Proportional to 313,684.46, 432,883.68 and 170,445

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Solution

The fourth proportional to 313,684.46, 432,883.68 and 170,445 is: 235,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,684.46 : 432,883.68 = 170,445 : x
  2. Step 2: Convert to fraction form
    313,684.46/432,883.68 = 170,445/x
  3. Step 3: Cross multiply
    313,684.46x = 432,883.68 × 170,445
  4. Step 4: Simplify right side
    313,684.46x = 73,782,858,837.60
  5. Step 5: Solve for x
    x = 73,782,858,837.60/313,684.46
  6. Step 6: Final answer
    x = 235,213.62

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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.