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Finding the Fourth Proportional to 286,651.28, 430,599 and 242,366.96

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Solution

The fourth proportional to 286,651.28, 430,599 and 242,366.96 is: 364,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,651.28 : 430,599 = 242,366.96 : x
  2. Step 2: Convert to fraction form
    286,651.28/430,599 = 242,366.96/x
  3. Step 3: Cross multiply
    286,651.28x = 430,599 × 242,366.96
  4. Step 4: Simplify right side
    286,651.28x = 104,362,970,609.04
  5. Step 5: Solve for x
    x = 104,362,970,609.04/286,651.28
  6. Step 6: Final answer
    x = 364,076.42

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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.