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Finding the Fourth Proportional to 411,971.10, 617,956.65 and 162,620.70

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Solution

The fourth proportional to 411,971.10, 617,956.65 and 162,620.70 is: 243,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,971.10 : 617,956.65 = 162,620.70 : x
  2. Step 2: Convert to fraction form
    411,971.10/617,956.65 = 162,620.70/x
  3. Step 3: Cross multiply
    411,971.10x = 617,956.65 × 162,620.70
  4. Step 4: Simplify right side
    411,971.10x = 100,492,542,992.66
  5. Step 5: Solve for x
    x = 100,492,542,992.66/411,971.10
  6. Step 6: Final answer
    x = 243,931.05

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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.