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Finding the Fourth Proportional to 471,421.60, 707,132.40 and 378,109.60

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Solution

The fourth proportional to 471,421.60, 707,132.40 and 378,109.60 is: 567,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,421.60 : 707,132.40 = 378,109.60 : x
  2. Step 2: Convert to fraction form
    471,421.60/707,132.40 = 378,109.60/x
  3. Step 3: Cross multiply
    471,421.60x = 707,132.40 × 378,109.60
  4. Step 4: Simplify right side
    471,421.60x = 267,373,548,911.04
  5. Step 5: Solve for x
    x = 267,373,548,911.04/471,421.60
  6. Step 6: Final answer
    x = 567,164.40

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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.