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Finding the Fourth Proportional to 321,609.34, 443,848.13 and 178,415.50

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Solution

The fourth proportional to 321,609.34, 443,848.13 and 178,415.50 is: 246,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,609.34 : 443,848.13 = 178,415.50 : x
  2. Step 2: Convert to fraction form
    321,609.34/443,848.13 = 178,415.50/x
  3. Step 3: Cross multiply
    321,609.34x = 443,848.13 × 178,415.50
  4. Step 4: Simplify right side
    321,609.34x = 79,189,386,038.02
  5. Step 5: Solve for x
    x = 79,189,386,038.02/321,609.34
  6. Step 6: Final answer
    x = 246,228.50

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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.