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Finding the Fourth Proportional to 671,188.70, 1,006,783.05 and 405,767.90

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Solution

The fourth proportional to 671,188.70, 1,006,783.05 and 405,767.90 is: 608,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,188.70 : 1,006,783.05 = 405,767.90 : x
  2. Step 2: Convert to fraction form
    671,188.70/1,006,783.05 = 405,767.90/x
  3. Step 3: Cross multiply
    671,188.70x = 1,006,783.05 × 405,767.90
  4. Step 4: Simplify right side
    671,188.70x = 408,520,243,954.10
  5. Step 5: Solve for x
    x = 408,520,243,954.10/671,188.70
  6. Step 6: Final answer
    x = 608,651.85

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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.