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Finding the Fourth Proportional to 411,668.62, 617,416.53 and 116,111.50

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Solution

The fourth proportional to 411,668.62, 617,416.53 and 116,111.50 is: 174,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,668.62 : 617,416.53 = 116,111.50 : x
  2. Step 2: Convert to fraction form
    411,668.62/617,416.53 = 116,111.50/x
  3. Step 3: Cross multiply
    411,668.62x = 617,416.53 × 116,111.50
  4. Step 4: Simplify right side
    411,668.62x = 71,689,159,423.10
  5. Step 5: Solve for x
    x = 71,689,159,423.10/411,668.62
  6. Step 6: Final answer
    x = 174,142.88

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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.