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Finding the Fourth Proportional to 684,858.82, 945,053.85 and 382,994.50

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Solution

The fourth proportional to 684,858.82, 945,053.85 and 382,994.50 is: 528,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,858.82 : 945,053.85 = 382,994.50 : x
  2. Step 2: Convert to fraction form
    684,858.82/945,053.85 = 382,994.50/x
  3. Step 3: Cross multiply
    684,858.82x = 945,053.85 × 382,994.50
  4. Step 4: Simplify right side
    684,858.82x = 361,950,426,753.83
  5. Step 5: Solve for x
    x = 361,950,426,753.83/684,858.82
  6. Step 6: Final answer
    x = 528,503.71

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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.