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Finding the Fourth Proportional to 321,413, 443,520.12 and 178,160.86

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Solution

The fourth proportional to 321,413, 443,520.12 and 178,160.86 is: 245,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,413 : 443,520.12 = 178,160.86 : x
  2. Step 2: Convert to fraction form
    321,413/443,520.12 = 178,160.86/x
  3. Step 3: Cross multiply
    321,413x = 443,520.12 × 178,160.86
  4. Step 4: Simplify right side
    321,413x = 79,017,926,006.50
  5. Step 5: Solve for x
    x = 79,017,926,006.50/321,413
  6. Step 6: Final answer
    x = 245,845.46

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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.