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Finding the Fourth Proportional to 411,500.43, 617,206.64 and 130,995.81

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Solution

The fourth proportional to 411,500.43, 617,206.64 and 130,995.81 is: 196,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,500.43 : 617,206.64 = 130,995.81 : x
  2. Step 2: Convert to fraction form
    411,500.43/617,206.64 = 130,995.81/x
  3. Step 3: Cross multiply
    411,500.43x = 617,206.64 × 130,995.81
  4. Step 4: Simplify right side
    411,500.43x = 80,851,483,089.20
  5. Step 5: Solve for x
    x = 80,851,483,089.20/411,500.43
  6. Step 6: Final answer
    x = 196,479.70

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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.