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Finding the Fourth Proportional to 321,807.45, 444,557.55 and 257,193.96

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Solution

The fourth proportional to 321,807.45, 444,557.55 and 257,193.96 is: 355,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,807.45 : 444,557.55 = 257,193.96 : x
  2. Step 2: Convert to fraction form
    321,807.45/444,557.55 = 257,193.96/x
  3. Step 3: Cross multiply
    321,807.45x = 444,557.55 × 257,193.96
  4. Step 4: Simplify right side
    321,807.45x = 114,337,516,732.40
  5. Step 5: Solve for x
    x = 114,337,516,732.40/321,807.45
  6. Step 6: Final answer
    x = 355,297.92

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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.