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Finding the Fourth Proportional to 455,988, 683,982.24 and 123,564

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Solution

The fourth proportional to 455,988, 683,982.24 and 123,564 is: 185,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,988 : 683,982.24 = 123,564 : x
  2. Step 2: Convert to fraction form
    455,988/683,982.24 = 123,564/x
  3. Step 3: Cross multiply
    455,988x = 683,982.24 × 123,564
  4. Step 4: Simplify right side
    455,988x = 84,515,581,503.36
  5. Step 5: Solve for x
    x = 84,515,581,503.36/455,988
  6. Step 6: Final answer
    x = 185,346.07

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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.