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Finding the Fourth Proportional to 553,867.44, 830,912.52 and 198,909.36

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Solution

The fourth proportional to 553,867.44, 830,912.52 and 198,909.36 is: 298,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,867.44 : 830,912.52 = 198,909.36 : x
  2. Step 2: Convert to fraction form
    553,867.44/830,912.52 = 198,909.36/x
  3. Step 3: Cross multiply
    553,867.44x = 830,912.52 × 198,909.36
  4. Step 4: Simplify right side
    553,867.44x = 165,276,277,569.19
  5. Step 5: Solve for x
    x = 165,276,277,569.19/553,867.44
  6. Step 6: Final answer
    x = 298,404.03

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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.