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Finding the Fourth Proportional to 553,612.70, 830,419.05 and 179,635.70

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Solution

The fourth proportional to 553,612.70, 830,419.05 and 179,635.70 is: 269,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,612.70 : 830,419.05 = 179,635.70 : x
  2. Step 2: Convert to fraction form
    553,612.70/830,419.05 = 179,635.70/x
  3. Step 3: Cross multiply
    553,612.70x = 830,419.05 × 179,635.70
  4. Step 4: Simplify right side
    553,612.70x = 149,172,907,340.09
  5. Step 5: Solve for x
    x = 149,172,907,340.09/553,612.70
  6. Step 6: Final answer
    x = 269,453.55

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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.