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Finding the Fourth Proportional to 411,890.60, 617,835.90 and 253,605.80

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Solution

The fourth proportional to 411,890.60, 617,835.90 and 253,605.80 is: 380,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,890.60 : 617,835.90 = 253,605.80 : x
  2. Step 2: Convert to fraction form
    411,890.60/617,835.90 = 253,605.80/x
  3. Step 3: Cross multiply
    411,890.60x = 617,835.90 × 253,605.80
  4. Step 4: Simplify right side
    411,890.60x = 156,686,767,688.22
  5. Step 5: Solve for x
    x = 156,686,767,688.22/411,890.60
  6. Step 6: Final answer
    x = 380,408.70

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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.