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Finding the Fourth Proportional to 411,474.60, 617,007.78 and 130,955.40

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Solution

The fourth proportional to 411,474.60, 617,007.78 and 130,955.40 is: 196,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,474.60 : 617,007.78 = 130,955.40 : x
  2. Step 2: Convert to fraction form
    411,474.60/617,007.78 = 130,955.40/x
  3. Step 3: Cross multiply
    411,474.60x = 617,007.78 × 130,955.40
  4. Step 4: Simplify right side
    411,474.60x = 80,800,500,633.01
  5. Step 5: Solve for x
    x = 80,800,500,633.01/411,474.60
  6. Step 6: Final answer
    x = 196,368.14

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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.