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Finding the Fourth Proportional to 312,787.40, 469,109.12 and 186,463.30

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Solution

The fourth proportional to 312,787.40, 469,109.12 and 186,463.30 is: 279,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,787.40 : 469,109.12 = 186,463.30 : x
  2. Step 2: Convert to fraction form
    312,787.40/469,109.12 = 186,463.30/x
  3. Step 3: Cross multiply
    312,787.40x = 469,109.12 × 186,463.30
  4. Step 4: Simplify right side
    312,787.40x = 87,471,634,575.30
  5. Step 5: Solve for x
    x = 87,471,634,575.30/312,787.40
  6. Step 6: Final answer
    x = 279,652.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.