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Finding the Fourth Proportional to 313,680.97, 470,256.96 and 136,054.20

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Solution

The fourth proportional to 313,680.97, 470,256.96 and 136,054.20 is: 203,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,680.97 : 470,256.96 = 136,054.20 : x
  2. Step 2: Convert to fraction form
    313,680.97/470,256.96 = 136,054.20/x
  3. Step 3: Cross multiply
    313,680.97x = 470,256.96 × 136,054.20
  4. Step 4: Simplify right side
    313,680.97x = 63,980,434,487.23
  5. Step 5: Solve for x
    x = 63,980,434,487.23/313,680.97
  6. Step 6: Final answer
    x = 203,966.58

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1.5x scale

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.