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Finding the Fourth Proportional to 354,725.40, 532,113.70 and 214,181.40

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Solution

The fourth proportional to 354,725.40, 532,113.70 and 214,181.40 is: 321,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,725.40 : 532,113.70 = 214,181.40 : x
  2. Step 2: Convert to fraction form
    354,725.40/532,113.70 = 214,181.40/x
  3. Step 3: Cross multiply
    354,725.40x = 532,113.70 × 214,181.40
  4. Step 4: Simplify right side
    354,725.40x = 113,968,857,225.18
  5. Step 5: Solve for x
    x = 113,968,857,225.18/354,725.40
  6. Step 6: Final answer
    x = 321,287.56

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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.