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Finding the Fourth Proportional to 288,290.25, 432,436.90 and 189,078.70

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Solution

The fourth proportional to 288,290.25, 432,436.90 and 189,078.70 is: 283,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,290.25 : 432,436.90 = 189,078.70 : x
  2. Step 2: Convert to fraction form
    288,290.25/432,436.90 = 189,078.70/x
  3. Step 3: Cross multiply
    288,290.25x = 432,436.90 × 189,078.70
  4. Step 4: Simplify right side
    288,290.25x = 81,764,606,884.03
  5. Step 5: Solve for x
    x = 81,764,606,884.03/288,290.25
  6. Step 6: Final answer
    x = 283,619.05

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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.