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Finding the Fourth Proportional to 397,558.64, 596,396.92 and 131,347.28

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Solution

The fourth proportional to 397,558.64, 596,396.92 and 131,347.28 is: 197,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,558.64 : 596,396.92 = 131,347.28 : x
  2. Step 2: Convert to fraction form
    397,558.64/596,396.92 = 131,347.28/x
  3. Step 3: Cross multiply
    397,558.64x = 596,396.92 × 131,347.28
  4. Step 4: Simplify right side
    397,558.64x = 78,335,113,242.38
  5. Step 5: Solve for x
    x = 78,335,113,242.38/397,558.64
  6. Step 6: Final answer
    x = 197,040.40

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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.