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Finding the Fourth Proportional to 257,438.40, 386,157.60 and 131,467.20

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Solution

The fourth proportional to 257,438.40, 386,157.60 and 131,467.20 is: 197,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,438.40 : 386,157.60 = 131,467.20 : x
  2. Step 2: Convert to fraction form
    257,438.40/386,157.60 = 131,467.20/x
  3. Step 3: Cross multiply
    257,438.40x = 386,157.60 × 131,467.20
  4. Step 4: Simplify right side
    257,438.40x = 50,767,058,430.72
  5. Step 5: Solve for x
    x = 50,767,058,430.72/257,438.40
  6. Step 6: Final answer
    x = 197,200.80

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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.