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Finding the Fourth Proportional to 411,374.32, 617,153.82 and 145,137.04

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Solution

The fourth proportional to 411,374.32, 617,153.82 and 145,137.04 is: 217,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,374.32 : 617,153.82 = 145,137.04 : x
  2. Step 2: Convert to fraction form
    411,374.32/617,153.82 = 145,137.04/x
  3. Step 3: Cross multiply
    411,374.32x = 617,153.82 × 145,137.04
  4. Step 4: Simplify right side
    411,374.32x = 89,571,878,659.49
  5. Step 5: Solve for x
    x = 89,571,878,659.49/411,374.32
  6. Step 6: Final answer
    x = 217,738.14

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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.