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Finding the Fourth Proportional to 199,376.60, 299,228.10 and 197,821.40

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Solution

The fourth proportional to 199,376.60, 299,228.10 and 197,821.40 is: 296,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,376.60 : 299,228.10 = 197,821.40 : x
  2. Step 2: Convert to fraction form
    199,376.60/299,228.10 = 197,821.40/x
  3. Step 3: Cross multiply
    199,376.60x = 299,228.10 × 197,821.40
  4. Step 4: Simplify right side
    199,376.60x = 59,193,721,661.34
  5. Step 5: Solve for x
    x = 59,193,721,661.34/199,376.60
  6. Step 6: Final answer
    x = 296,894.03

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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.