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Finding the Fourth Proportional to 219,027.60, 328,541.40 and 199,328.40

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Solution

The fourth proportional to 219,027.60, 328,541.40 and 199,328.40 is: 298,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,027.60 : 328,541.40 = 199,328.40 : x
  2. Step 2: Convert to fraction form
    219,027.60/328,541.40 = 199,328.40/x
  3. Step 3: Cross multiply
    219,027.60x = 328,541.40 × 199,328.40
  4. Step 4: Simplify right side
    219,027.60x = 65,487,631,595.76
  5. Step 5: Solve for x
    x = 65,487,631,595.76/219,027.60
  6. Step 6: Final answer
    x = 298,992.60

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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.