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Finding the Fourth Proportional to 439,359.84, 659,171.04 and 311,522.40

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Solution

The fourth proportional to 439,359.84, 659,171.04 and 311,522.40 is: 467,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,359.84 : 659,171.04 = 311,522.40 : x
  2. Step 2: Convert to fraction form
    439,359.84/659,171.04 = 311,522.40/x
  3. Step 3: Cross multiply
    439,359.84x = 659,171.04 × 311,522.40
  4. Step 4: Simplify right side
    439,359.84x = 205,346,544,391.30
  5. Step 5: Solve for x
    x = 205,346,544,391.30/439,359.84
  6. Step 6: Final answer
    x = 467,376.68

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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.