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Finding the Fourth Proportional to 629,947.59, 869,341.40 and 343,468.81

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Solution

The fourth proportional to 629,947.59, 869,341.40 and 343,468.81 is: 473,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,947.59 : 869,341.40 = 343,468.81 : x
  2. Step 2: Convert to fraction form
    629,947.59/869,341.40 = 343,468.81/x
  3. Step 3: Cross multiply
    629,947.59x = 869,341.40 × 343,468.81
  4. Step 4: Simplify right side
    629,947.59x = 298,591,656,141.73
  5. Step 5: Solve for x
    x = 298,591,656,141.73/629,947.59
  6. Step 6: Final answer
    x = 473,994.44

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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.