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Finding the Fourth Proportional to 411,616.14, 616,973.81 and 211,948.51

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Solution

The fourth proportional to 411,616.14, 616,973.81 and 211,948.51 is: 317,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,616.14 : 616,973.81 = 211,948.51 : x
  2. Step 2: Convert to fraction form
    411,616.14/616,973.81 = 211,948.51/x
  3. Step 3: Cross multiply
    411,616.14x = 616,973.81 × 211,948.51
  4. Step 4: Simplify right side
    411,616.14x = 130,766,677,136.35
  5. Step 5: Solve for x
    x = 130,766,677,136.35/411,616.14
  6. Step 6: Final answer
    x = 317,690.84

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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.