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Finding the Fourth Proportional to 411,617.64, 616,976.06 and 211,950.01

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Solution

The fourth proportional to 411,617.64, 616,976.06 and 211,950.01 is: 317,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,617.64 : 616,976.06 = 211,950.01 : x
  2. Step 2: Convert to fraction form
    411,617.64/616,976.06 = 211,950.01/x
  3. Step 3: Cross multiply
    411,617.64x = 616,976.06 × 211,950.01
  4. Step 4: Simplify right side
    411,617.64x = 130,768,079,484.57
  5. Step 5: Solve for x
    x = 130,768,079,484.57/411,617.64
  6. Step 6: Final answer
    x = 317,693.09

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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.