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Finding the Fourth Proportional to 289,328.58, 399,226.94 and 181,822.50

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Solution

The fourth proportional to 289,328.58, 399,226.94 and 181,822.50 is: 250,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,328.58 : 399,226.94 = 181,822.50 : x
  2. Step 2: Convert to fraction form
    289,328.58/399,226.94 = 181,822.50/x
  3. Step 3: Cross multiply
    289,328.58x = 399,226.94 × 181,822.50
  4. Step 4: Simplify right side
    289,328.58x = 72,588,440,298.15
  5. Step 5: Solve for x
    x = 72,588,440,298.15/289,328.58
  6. Step 6: Final answer
    x = 250,885.83

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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.