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Finding the Fourth Proportional to 426,371.76, 638,947.40 and 313,164

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Solution

The fourth proportional to 426,371.76, 638,947.40 and 313,164 is: 469,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,371.76 : 638,947.40 = 313,164 : x
  2. Step 2: Convert to fraction form
    426,371.76/638,947.40 = 313,164/x
  3. Step 3: Cross multiply
    426,371.76x = 638,947.40 × 313,164
  4. Step 4: Simplify right side
    426,371.76x = 200,095,323,573.60
  5. Step 5: Solve for x
    x = 200,095,323,573.60/426,371.76
  6. Step 6: Final answer
    x = 469,297.79

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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.