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Finding the Fourth Proportional to 553,204.70, 830,001.45 and 198,230.30

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Solution

The fourth proportional to 553,204.70, 830,001.45 and 198,230.30 is: 297,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,204.70 : 830,001.45 = 198,230.30 : x
  2. Step 2: Convert to fraction form
    553,204.70/830,001.45 = 198,230.30/x
  3. Step 3: Cross multiply
    553,204.70x = 830,001.45 × 198,230.30
  4. Step 4: Simplify right side
    553,204.70x = 164,531,436,433.94
  5. Step 5: Solve for x
    x = 164,531,436,433.94/553,204.70
  6. Step 6: Final answer
    x = 297,415.11

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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.