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Finding the Fourth Proportional to 397,113.90, 595,542.78 and 130,811.10

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Solution

The fourth proportional to 397,113.90, 595,542.78 and 130,811.10 is: 196,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,113.90 : 595,542.78 = 130,811.10 : x
  2. Step 2: Convert to fraction form
    397,113.90/595,542.78 = 130,811.10/x
  3. Step 3: Cross multiply
    397,113.90x = 595,542.78 × 130,811.10
  4. Step 4: Simplify right side
    397,113.90x = 77,903,606,148.86
  5. Step 5: Solve for x
    x = 77,903,606,148.86/397,113.90
  6. Step 6: Final answer
    x = 196,174.46

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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.