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Finding the Fourth Proportional to 326,085.76, 449,807.70 and 205,035.40

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Solution

The fourth proportional to 326,085.76, 449,807.70 and 205,035.40 is: 282,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,085.76 : 449,807.70 = 205,035.40 : x
  2. Step 2: Convert to fraction form
    326,085.76/449,807.70 = 205,035.40/x
  3. Step 3: Cross multiply
    326,085.76x = 449,807.70 × 205,035.40
  4. Step 4: Simplify right side
    326,085.76x = 92,226,501,692.58
  5. Step 5: Solve for x
    x = 92,226,501,692.58/326,085.76
  6. Step 6: Final answer
    x = 282,828.98

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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.