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Finding the Fourth Proportional to 411,378.80, 617,068.20 and 145,137.20

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Solution

The fourth proportional to 411,378.80, 617,068.20 and 145,137.20 is: 217,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,378.80 : 617,068.20 = 145,137.20 : x
  2. Step 2: Convert to fraction form
    411,378.80/617,068.20 = 145,137.20/x
  3. Step 3: Cross multiply
    411,378.80x = 617,068.20 × 145,137.20
  4. Step 4: Simplify right side
    411,378.80x = 89,559,550,757.04
  5. Step 5: Solve for x
    x = 89,559,550,757.04/411,378.80
  6. Step 6: Final answer
    x = 217,705.80

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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.