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Finding the Fourth Proportional to 470,257.60, 704,349.60 and 408,049.60

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Solution

The fourth proportional to 470,257.60, 704,349.60 and 408,049.60 is: 611,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,257.60 : 704,349.60 = 408,049.60 : x
  2. Step 2: Convert to fraction form
    470,257.60/704,349.60 = 408,049.60/x
  3. Step 3: Cross multiply
    470,257.60x = 704,349.60 × 408,049.60
  4. Step 4: Simplify right side
    470,257.60x = 287,409,572,540.16
  5. Step 5: Solve for x
    x = 287,409,572,540.16/470,257.60
  6. Step 6: Final answer
    x = 611,174.75

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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.