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Finding the Fourth Proportional to 553,356,546.64, 830,180,191.92 and 198,866,620.20

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Solution

The fourth proportional to 553,356,546.64, 830,180,191.92 and 198,866,620.20 is: 298,352,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,356,546.64 : 830,180,191.92 = 198,866,620.20 : x
  2. Step 2: Convert to fraction form
    553,356,546.64/830,180,191.92 = 198,866,620.20/x
  3. Step 3: Cross multiply
    553,356,546.64x = 830,180,191.92 × 198,866,620.20
  4. Step 4: Simplify right side
    553,356,546.64x = 165,095,128,924,117,728
  5. Step 5: Solve for x
    x = 165,095,128,924,117,728/553,356,546.64
  6. Step 6: Final answer
    x = 298,352,174.43

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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.