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Finding the Fourth Proportional to 682,443, 941,771.34 and 380,637

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Solution

The fourth proportional to 682,443, 941,771.34 and 380,637 is: 525,279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,443 : 941,771.34 = 380,637 : x
  2. Step 2: Convert to fraction form
    682,443/941,771.34 = 380,637/x
  3. Step 3: Cross multiply
    682,443x = 941,771.34 × 380,637
  4. Step 4: Simplify right side
    682,443x = 358,473,017,543.58
  5. Step 5: Solve for x
    x = 358,473,017,543.58/682,443
  6. Step 6: Final answer
    x = 525,279.06

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1.5x scale

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.