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Finding the Fourth Proportional to 320,674.65, 442,338.15 and 211,780

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Solution

The fourth proportional to 320,674.65, 442,338.15 and 211,780 is: 292,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,674.65 : 442,338.15 = 211,780 : x
  2. Step 2: Convert to fraction form
    320,674.65/442,338.15 = 211,780/x
  3. Step 3: Cross multiply
    320,674.65x = 442,338.15 × 211,780
  4. Step 4: Simplify right side
    320,674.65x = 93,678,373,407
  5. Step 5: Solve for x
    x = 93,678,373,407/320,674.65
  6. Step 6: Final answer
    x = 292,129.03

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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.