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Finding the Fourth Proportional to 471,110.40, 705,628.80 and 418,579.20

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Solution

The fourth proportional to 471,110.40, 705,628.80 and 418,579.20 is: 626,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,110.40 : 705,628.80 = 418,579.20 : x
  2. Step 2: Convert to fraction form
    471,110.40/705,628.80 = 418,579.20/x
  3. Step 3: Cross multiply
    471,110.40x = 705,628.80 × 418,579.20
  4. Step 4: Simplify right side
    471,110.40x = 295,361,538,600.96
  5. Step 5: Solve for x
    x = 295,361,538,600.96/471,110.40
  6. Step 6: Final answer
    x = 626,947.61

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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.