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Finding the Fourth Proportional to 553,609, 830,766.72 and 198,615.16

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Solution

The fourth proportional to 553,609, 830,766.72 and 198,615.16 is: 298,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,609 : 830,766.72 = 198,615.16 : x
  2. Step 2: Convert to fraction form
    553,609/830,766.72 = 198,615.16/x
  3. Step 3: Cross multiply
    553,609x = 830,766.72 × 198,615.16
  4. Step 4: Simplify right side
    553,609x = 165,002,865,015.48
  5. Step 5: Solve for x
    x = 165,002,865,015.48/553,609
  6. Step 6: Final answer
    x = 298,049.46

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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.