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Finding the Fourth Proportional to 397,107.90, 595,533.78 and 130,805.10

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Solution

The fourth proportional to 397,107.90, 595,533.78 and 130,805.10 is: 196,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,107.90 : 595,533.78 = 130,805.10 : x
  2. Step 2: Convert to fraction form
    397,107.90/595,533.78 = 130,805.10/x
  3. Step 3: Cross multiply
    397,107.90x = 595,533.78 × 130,805.10
  4. Step 4: Simplify right side
    397,107.90x = 77,898,855,646.28
  5. Step 5: Solve for x
    x = 77,898,855,646.28/397,107.90
  6. Step 6: Final answer
    x = 196,165.46

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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.