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Finding the Fourth Proportional to 214,288.40, 321,125.40 and 157,686.80

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Solution

The fourth proportional to 214,288.40, 321,125.40 and 157,686.80 is: 236,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,288.40 : 321,125.40 = 157,686.80 : x
  2. Step 2: Convert to fraction form
    214,288.40/321,125.40 = 157,686.80/x
  3. Step 3: Cross multiply
    214,288.40x = 321,125.40 × 157,686.80
  4. Step 4: Simplify right side
    214,288.40x = 50,637,236,724.72
  5. Step 5: Solve for x
    x = 50,637,236,724.72/214,288.40
  6. Step 6: Final answer
    x = 236,304.14

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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.