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Finding the Fourth Proportional to 313,284.78, 432,321.36 and 170,041.74

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Solution

The fourth proportional to 313,284.78, 432,321.36 and 170,041.74 is: 234,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,284.78 : 432,321.36 = 170,041.74 : x
  2. Step 2: Convert to fraction form
    313,284.78/432,321.36 = 170,041.74/x
  3. Step 3: Cross multiply
    313,284.78x = 432,321.36 × 170,041.74
  4. Step 4: Simplify right side
    313,284.78x = 73,512,676,293.57
  5. Step 5: Solve for x
    x = 73,512,676,293.57/313,284.78
  6. Step 6: Final answer
    x = 234,651.29

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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.