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Finding the Fourth Proportional to 214,465.60, 321,698.40 and 161,243.20

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Solution

The fourth proportional to 214,465.60, 321,698.40 and 161,243.20 is: 241,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,465.60 : 321,698.40 = 161,243.20 : x
  2. Step 2: Convert to fraction form
    214,465.60/321,698.40 = 161,243.20/x
  3. Step 3: Cross multiply
    214,465.60x = 321,698.40 × 161,243.20
  4. Step 4: Simplify right side
    214,465.60x = 51,871,679,450.88
  5. Step 5: Solve for x
    x = 51,871,679,450.88/214,465.60
  6. Step 6: Final answer
    x = 241,864.80

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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.