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Finding the Fourth Proportional to 836,308.40, 1,154,204.54 and 496,778

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Solution

The fourth proportional to 836,308.40, 1,154,204.54 and 496,778 is: 685,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,308.40 : 1,154,204.54 = 496,778 : x
  2. Step 2: Convert to fraction form
    836,308.40/1,154,204.54 = 496,778/x
  3. Step 3: Cross multiply
    836,308.40x = 1,154,204.54 × 496,778
  4. Step 4: Simplify right side
    836,308.40x = 573,383,422,972.12
  5. Step 5: Solve for x
    x = 573,383,422,972.12/836,308.40
  6. Step 6: Final answer
    x = 685,612.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.