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Finding the Fourth Proportional to 431,036.70, 646,555.05 and 164,805.90

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Solution

The fourth proportional to 431,036.70, 646,555.05 and 164,805.90 is: 247,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,036.70 : 646,555.05 = 164,805.90 : x
  2. Step 2: Convert to fraction form
    431,036.70/646,555.05 = 164,805.90/x
  3. Step 3: Cross multiply
    431,036.70x = 646,555.05 × 164,805.90
  4. Step 4: Simplify right side
    431,036.70x = 106,556,086,914.80
  5. Step 5: Solve for x
    x = 106,556,086,914.80/431,036.70
  6. Step 6: Final answer
    x = 247,208.85

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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.