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Finding the Fourth Proportional to 321,259, 443,347.16 and 178,005.64

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Solution

The fourth proportional to 321,259, 443,347.16 and 178,005.64 is: 245,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,259 : 443,347.16 = 178,005.64 : x
  2. Step 2: Convert to fraction form
    321,259/443,347.16 = 178,005.64/x
  3. Step 3: Cross multiply
    321,259x = 443,347.16 × 178,005.64
  4. Step 4: Simplify right side
    321,259x = 78,918,294,957.98
  5. Step 5: Solve for x
    x = 78,918,294,957.98/321,259
  6. Step 6: Final answer
    x = 245,653.18

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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.