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Finding the Fourth Proportional to 836,310.40, 1,154,207.30 and 496,780

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Solution

The fourth proportional to 836,310.40, 1,154,207.30 and 496,780 is: 685,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,310.40 : 1,154,207.30 = 496,780 : x
  2. Step 2: Convert to fraction form
    836,310.40/1,154,207.30 = 496,780/x
  3. Step 3: Cross multiply
    836,310.40x = 1,154,207.30 × 496,780
  4. Step 4: Simplify right side
    836,310.40x = 573,387,102,494
  5. Step 5: Solve for x
    x = 573,387,102,494/836,310.40
  6. Step 6: Final answer
    x = 685,615.18

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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.