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Finding the Fourth Proportional to 219,636.40, 329,078.13 and 147,454.12

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Solution

The fourth proportional to 219,636.40, 329,078.13 and 147,454.12 is: 220,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,636.40 : 329,078.13 = 147,454.12 : x
  2. Step 2: Convert to fraction form
    219,636.40/329,078.13 = 147,454.12/x
  3. Step 3: Cross multiply
    219,636.40x = 329,078.13 × 147,454.12
  4. Step 4: Simplify right side
    219,636.40x = 48,523,926,070.40
  5. Step 5: Solve for x
    x = 48,523,926,070.40/219,636.40
  6. Step 6: Final answer
    x = 220,928.43

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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.