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Finding the Fourth Proportional to 471,256.40, 705,847.80 and 418,725.20

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Solution

The fourth proportional to 471,256.40, 705,847.80 and 418,725.20 is: 627,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,256.40 : 705,847.80 = 418,725.20 : x
  2. Step 2: Convert to fraction form
    471,256.40/705,847.80 = 418,725.20/x
  3. Step 3: Cross multiply
    471,256.40x = 705,847.80 × 418,725.20
  4. Step 4: Simplify right side
    471,256.40x = 295,556,261,224.56
  5. Step 5: Solve for x
    x = 295,556,261,224.56/471,256.40
  6. Step 6: Final answer
    x = 627,166.57

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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.