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Finding the Fourth Proportional to 643,769, 965,690.40 and 170,442.06

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Solution

The fourth proportional to 643,769, 965,690.40 and 170,442.06 is: 255,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,769 : 965,690.40 = 170,442.06 : x
  2. Step 2: Convert to fraction form
    643,769/965,690.40 = 170,442.06/x
  3. Step 3: Cross multiply
    643,769x = 965,690.40 × 170,442.06
  4. Step 4: Simplify right side
    643,769x = 164,594,261,098.22
  5. Step 5: Solve for x
    x = 164,594,261,098.22/643,769
  6. Step 6: Final answer
    x = 255,672.86

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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.