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Finding the Fourth Proportional to 321,264.33, 443,347.38 and 178,026.77

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Solution

The fourth proportional to 321,264.33, 443,347.38 and 178,026.77 is: 245,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,264.33 : 443,347.38 = 178,026.77 : x
  2. Step 2: Convert to fraction form
    321,264.33/443,347.38 = 178,026.77/x
  3. Step 3: Cross multiply
    321,264.33x = 443,347.38 × 178,026.77
  4. Step 4: Simplify right side
    321,264.33x = 78,927,699,832.63
  5. Step 5: Solve for x
    x = 78,927,699,832.63/321,264.33
  6. Step 6: Final answer
    x = 245,678.38

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1.5x scale

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.