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Finding the Fourth Proportional to 475,138.54, 712,025.76 and 285,676.30

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Solution

The fourth proportional to 475,138.54, 712,025.76 and 285,676.30 is: 428,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,138.54 : 712,025.76 = 285,676.30 : x
  2. Step 2: Convert to fraction form
    475,138.54/712,025.76 = 285,676.30/x
  3. Step 3: Cross multiply
    475,138.54x = 712,025.76 × 285,676.30
  4. Step 4: Simplify right side
    475,138.54x = 203,408,884,621.49
  5. Step 5: Solve for x
    x = 203,408,884,621.49/475,138.54
  6. Step 6: Final answer
    x = 428,104.37

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1.5x scale

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.