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Finding the Fourth Proportional to 259,472.43, 389,225.05 and 109,684.80

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Solution

The fourth proportional to 259,472.43, 389,225.05 and 109,684.80 is: 164,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,472.43 : 389,225.05 = 109,684.80 : x
  2. Step 2: Convert to fraction form
    259,472.43/389,225.05 = 109,684.80/x
  3. Step 3: Cross multiply
    259,472.43x = 389,225.05 × 109,684.80
  4. Step 4: Simplify right side
    259,472.43x = 42,692,071,490.03
  5. Step 5: Solve for x
    x = 42,692,071,490.03/259,472.43
  6. Step 6: Final answer
    x = 164,534.13

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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.