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Finding the Fourth Proportional to 259,715.60, 389,281.80 and 109,930.40

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Solution

The fourth proportional to 259,715.60, 389,281.80 and 109,930.40 is: 164,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,715.60 : 389,281.80 = 109,930.40 : x
  2. Step 2: Convert to fraction form
    259,715.60/389,281.80 = 109,930.40/x
  3. Step 3: Cross multiply
    259,715.60x = 389,281.80 × 109,930.40
  4. Step 4: Simplify right side
    259,715.60x = 42,793,903,986.72
  5. Step 5: Solve for x
    x = 42,793,903,986.72/259,715.60
  6. Step 6: Final answer
    x = 164,772.17

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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.