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Finding the Fourth Proportional to 629,893.80, 944,970.30 and 209,471.40

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Solution

The fourth proportional to 629,893.80, 944,970.30 and 209,471.40 is: 314,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,893.80 : 944,970.30 = 209,471.40 : x
  2. Step 2: Convert to fraction form
    629,893.80/944,970.30 = 209,471.40/x
  3. Step 3: Cross multiply
    629,893.80x = 944,970.30 × 209,471.40
  4. Step 4: Simplify right side
    629,893.80x = 197,944,251,699.42
  5. Step 5: Solve for x
    x = 197,944,251,699.42/629,893.80
  6. Step 6: Final answer
    x = 314,250.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.