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Finding the Fourth Proportional to 411,376.70, 617,126.61 and 130,956.86

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Solution

The fourth proportional to 411,376.70, 617,126.61 and 130,956.86 is: 196,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,376.70 : 617,126.61 = 130,956.86 : x
  2. Step 2: Convert to fraction form
    411,376.70/617,126.61 = 130,956.86/x
  3. Step 3: Cross multiply
    411,376.70x = 617,126.61 × 130,956.86
  4. Step 4: Simplify right side
    411,376.70x = 80,816,963,068.04
  5. Step 5: Solve for x
    x = 80,816,963,068.04/411,376.70
  6. Step 6: Final answer
    x = 196,454.89

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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.