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Finding the Fourth Proportional to 553,640.50, 830,813.97 and 198,646.66

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Solution

The fourth proportional to 553,640.50, 830,813.97 and 198,646.66 is: 298,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,640.50 : 830,813.97 = 198,646.66 : x
  2. Step 2: Convert to fraction form
    553,640.50/830,813.97 = 198,646.66/x
  3. Step 3: Cross multiply
    553,640.50x = 830,813.97 × 198,646.66
  4. Step 4: Simplify right side
    553,640.50x = 165,038,420,221.84
  5. Step 5: Solve for x
    x = 165,038,420,221.84/553,640.50
  6. Step 6: Final answer
    x = 298,096.73

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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.