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Finding the Fourth Proportional to 447,138.40, 670,707.60 and 415,645.60

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Solution

The fourth proportional to 447,138.40, 670,707.60 and 415,645.60 is: 623,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,138.40 : 670,707.60 = 415,645.60 : x
  2. Step 2: Convert to fraction form
    447,138.40/670,707.60 = 415,645.60/x
  3. Step 3: Cross multiply
    447,138.40x = 670,707.60 × 415,645.60
  4. Step 4: Simplify right side
    447,138.40x = 278,776,662,826.56
  5. Step 5: Solve for x
    x = 278,776,662,826.56/447,138.40
  6. Step 6: Final answer
    x = 623,468.40

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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.