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Finding the Fourth Proportional to 286,086.96, 428,835.12 and 186,441.84

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Solution

The fourth proportional to 286,086.96, 428,835.12 and 186,441.84 is: 279,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,086.96 : 428,835.12 = 186,441.84 : x
  2. Step 2: Convert to fraction form
    286,086.96/428,835.12 = 186,441.84/x
  3. Step 3: Cross multiply
    286,086.96x = 428,835.12 × 186,441.84
  4. Step 4: Simplify right side
    286,086.96x = 79,952,808,829.42
  5. Step 5: Solve for x
    x = 79,952,808,829.42/286,086.96
  6. Step 6: Final answer
    x = 279,470.30

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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.