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Finding the Fourth Proportional to 412,515.84, 618,774.26 and 112,999

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Solution

The fourth proportional to 412,515.84, 618,774.26 and 112,999 is: 169,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,515.84 : 618,774.26 = 112,999 : x
  2. Step 2: Convert to fraction form
    412,515.84/618,774.26 = 112,999/x
  3. Step 3: Cross multiply
    412,515.84x = 618,774.26 × 112,999
  4. Step 4: Simplify right side
    412,515.84x = 69,920,872,605.74
  5. Step 5: Solve for x
    x = 69,920,872,605.74/412,515.84
  6. Step 6: Final answer
    x = 169,498.64

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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.