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Finding the Fourth Proportional to 553,486.20, 830,423.70 and 198,511.80

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Solution

The fourth proportional to 553,486.20, 830,423.70 and 198,511.80 is: 297,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,486.20 : 830,423.70 = 198,511.80 : x
  2. Step 2: Convert to fraction form
    553,486.20/830,423.70 = 198,511.80/x
  3. Step 3: Cross multiply
    553,486.20x = 830,423.70 × 198,511.80
  4. Step 4: Simplify right side
    553,486.20x = 164,848,903,449.66
  5. Step 5: Solve for x
    x = 164,848,903,449.66/553,486.20
  6. Step 6: Final answer
    x = 297,837.42

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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.