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Finding the Fourth Proportional to 313,274.90, 432,319.85 and 170,035

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Solution

The fourth proportional to 313,274.90, 432,319.85 and 170,035 is: 234,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,274.90 : 432,319.85 = 170,035 : x
  2. Step 2: Convert to fraction form
    313,274.90/432,319.85 = 170,035/x
  3. Step 3: Cross multiply
    313,274.90x = 432,319.85 × 170,035
  4. Step 4: Simplify right side
    313,274.90x = 73,509,505,694.75
  5. Step 5: Solve for x
    x = 73,509,505,694.75/313,274.90
  6. Step 6: Final answer
    x = 234,648.56

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1.5x scale

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.