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Finding the Fourth Proportional to 469,154.84, 703,624.32 and 279,668.70

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Solution

The fourth proportional to 469,154.84, 703,624.32 and 279,668.70 is: 419,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,154.84 : 703,624.32 = 279,668.70 : x
  2. Step 2: Convert to fraction form
    469,154.84/703,624.32 = 279,668.70/x
  3. Step 3: Cross multiply
    469,154.84x = 703,624.32 × 279,668.70
  4. Step 4: Simplify right side
    469,154.84x = 196,781,698,862.78
  5. Step 5: Solve for x
    x = 196,781,698,862.78/469,154.84
  6. Step 6: Final answer
    x = 419,438.71

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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.