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Finding the Fourth Proportional to 411,301.80, 616,952.70 and 311,656.61

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Solution

The fourth proportional to 411,301.80, 616,952.70 and 311,656.61 is: 467,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,301.80 : 616,952.70 = 311,656.61 : x
  2. Step 2: Convert to fraction form
    411,301.80/616,952.70 = 311,656.61/x
  3. Step 3: Cross multiply
    411,301.80x = 616,952.70 × 311,656.61
  4. Step 4: Simplify right side
    411,301.80x = 192,277,388,554.73
  5. Step 5: Solve for x
    x = 192,277,388,554.73/411,301.80
  6. Step 6: Final answer
    x = 467,484.92

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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.