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Finding the Fourth Proportional to 219,268.40, 328,701 and 78,992.72

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Solution

The fourth proportional to 219,268.40, 328,701 and 78,992.72 is: 118,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,268.40 : 328,701 = 78,992.72 : x
  2. Step 2: Convert to fraction form
    219,268.40/328,701 = 78,992.72/x
  3. Step 3: Cross multiply
    219,268.40x = 328,701 × 78,992.72
  4. Step 4: Simplify right side
    219,268.40x = 25,964,986,056.72
  5. Step 5: Solve for x
    x = 25,964,986,056.72/219,268.40
  6. Step 6: Final answer
    x = 118,416.45

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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.