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Finding the Fourth Proportional to 427,580.86, 641,592.60 and 310,220.86

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Solution

The fourth proportional to 427,580.86, 641,592.60 and 310,220.86 is: 465,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,580.86 : 641,592.60 = 310,220.86 : x
  2. Step 2: Convert to fraction form
    427,580.86/641,592.60 = 310,220.86/x
  3. Step 3: Cross multiply
    427,580.86x = 641,592.60 × 310,220.86
  4. Step 4: Simplify right side
    427,580.86x = 199,035,408,141.64
  5. Step 5: Solve for x
    x = 199,035,408,141.64/427,580.86
  6. Step 6: Final answer
    x = 465,491.86

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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.