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Finding the Fourth Proportional to 259,564.80, 389,078.40 and 140,985.60

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Solution

The fourth proportional to 259,564.80, 389,078.40 and 140,985.60 is: 211,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,564.80 : 389,078.40 = 140,985.60 : x
  2. Step 2: Convert to fraction form
    259,564.80/389,078.40 = 140,985.60/x
  3. Step 3: Cross multiply
    259,564.80x = 389,078.40 × 140,985.60
  4. Step 4: Simplify right side
    259,564.80x = 54,854,451,671.04
  5. Step 5: Solve for x
    x = 54,854,451,671.04/259,564.80
  6. Step 6: Final answer
    x = 211,332.40

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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.