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Finding the Fourth Proportional to 213,865.31, 321,213.16 and 157,482.74

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Solution

The fourth proportional to 213,865.31, 321,213.16 and 157,482.74 is: 236,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,865.31 : 321,213.16 = 157,482.74 : x
  2. Step 2: Convert to fraction form
    213,865.31/321,213.16 = 157,482.74/x
  3. Step 3: Cross multiply
    213,865.31x = 321,213.16 × 157,482.74
  4. Step 4: Simplify right side
    213,865.31x = 50,585,529,560.74
  5. Step 5: Solve for x
    x = 50,585,529,560.74/213,865.31
  6. Step 6: Final answer
    x = 236,529.85

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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.