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Finding the Fourth Proportional to 321,606.84, 443,844.68 and 178,413

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Solution

The fourth proportional to 321,606.84, 443,844.68 and 178,413 is: 246,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,606.84 : 443,844.68 = 178,413 : x
  2. Step 2: Convert to fraction form
    321,606.84/443,844.68 = 178,413/x
  3. Step 3: Cross multiply
    321,606.84x = 443,844.68 × 178,413
  4. Step 4: Simplify right side
    321,606.84x = 79,187,660,000.78
  5. Step 5: Solve for x
    x = 79,187,660,000.78/321,606.84
  6. Step 6: Final answer
    x = 246,225.05

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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.