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Finding the Fourth Proportional to 285,619.20, 428,019.20 and 210,150.40

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Solution

The fourth proportional to 285,619.20, 428,019.20 and 210,150.40 is: 314,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,619.20 : 428,019.20 = 210,150.40 : x
  2. Step 2: Convert to fraction form
    285,619.20/428,019.20 = 210,150.40/x
  3. Step 3: Cross multiply
    285,619.20x = 428,019.20 × 210,150.40
  4. Step 4: Simplify right side
    285,619.20x = 89,948,406,087.68
  5. Step 5: Solve for x
    x = 89,948,406,087.68/285,619.20
  6. Step 6: Final answer
    x = 314,924.23

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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.