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Finding the Fourth Proportional to 320,805.65, 442,665.46 and 177,565.35

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Solution

The fourth proportional to 320,805.65, 442,665.46 and 177,565.35 is: 245,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,805.65 : 442,665.46 = 177,565.35 : x
  2. Step 2: Convert to fraction form
    320,805.65/442,665.46 = 177,565.35/x
  3. Step 3: Cross multiply
    320,805.65x = 442,665.46 × 177,565.35
  4. Step 4: Simplify right side
    320,805.65x = 78,602,045,730.96
  5. Step 5: Solve for x
    x = 78,602,045,730.96/320,805.65
  6. Step 6: Final answer
    x = 245,014.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.