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Finding the Fourth Proportional to 411,880.40, 617,811.48 and 112,355.60

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Solution

The fourth proportional to 411,880.40, 617,811.48 and 112,355.60 is: 168,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,880.40 : 617,811.48 = 112,355.60 : x
  2. Step 2: Convert to fraction form
    411,880.40/617,811.48 = 112,355.60/x
  3. Step 3: Cross multiply
    411,880.40x = 617,811.48 × 112,355.60
  4. Step 4: Simplify right side
    411,880.40x = 69,414,579,522.29
  5. Step 5: Solve for x
    x = 69,414,579,522.29/411,880.40
  6. Step 6: Final answer
    x = 168,530.91

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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.