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Finding the Fourth Proportional to 431,415.48, 646,705.26 and 164,970.84

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Solution

The fourth proportional to 431,415.48, 646,705.26 and 164,970.84 is: 247,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,415.48 : 646,705.26 = 164,970.84 : x
  2. Step 2: Convert to fraction form
    431,415.48/646,705.26 = 164,970.84/x
  3. Step 3: Cross multiply
    431,415.48x = 646,705.26 × 164,970.84
  4. Step 4: Simplify right side
    431,415.48x = 106,687,509,974.62
  5. Step 5: Solve for x
    x = 106,687,509,974.62/431,415.48
  6. Step 6: Final answer
    x = 247,296.43

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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.