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Finding the Fourth Proportional to 397,410.40, 596,115.60 and 257,327.20

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Solution

The fourth proportional to 397,410.40, 596,115.60 and 257,327.20 is: 385,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,410.40 : 596,115.60 = 257,327.20 : x
  2. Step 2: Convert to fraction form
    397,410.40/596,115.60 = 257,327.20/x
  3. Step 3: Cross multiply
    397,410.40x = 596,115.60 × 257,327.20
  4. Step 4: Simplify right side
    397,410.40x = 153,396,758,224.32
  5. Step 5: Solve for x
    x = 153,396,758,224.32/397,410.40
  6. Step 6: Final answer
    x = 385,990.80

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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.