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Finding the Fourth Proportional to 312,715.97, 469,108.44 and 99,434

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Solution

The fourth proportional to 312,715.97, 469,108.44 and 99,434 is: 149,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,715.97 : 469,108.44 = 99,434 : x
  2. Step 2: Convert to fraction form
    312,715.97/469,108.44 = 99,434/x
  3. Step 3: Cross multiply
    312,715.97x = 469,108.44 × 99,434
  4. Step 4: Simplify right side
    312,715.97x = 46,645,328,622.96
  5. Step 5: Solve for x
    x = 46,645,328,622.96/312,715.97
  6. Step 6: Final answer
    x = 149,161.97

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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.