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Finding the Fourth Proportional to 214,284.40, 321,119.40 and 157,682.80

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Solution

The fourth proportional to 214,284.40, 321,119.40 and 157,682.80 is: 236,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,284.40 : 321,119.40 = 157,682.80 : x
  2. Step 2: Convert to fraction form
    214,284.40/321,119.40 = 157,682.80/x
  3. Step 3: Cross multiply
    214,284.40x = 321,119.40 × 157,682.80
  4. Step 4: Simplify right side
    214,284.40x = 50,635,006,126.32
  5. Step 5: Solve for x
    x = 50,635,006,126.32/214,284.40
  6. Step 6: Final answer
    x = 236,298.14

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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.