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Finding the Fourth Proportional to 397,038.40, 595,429.56 and 130,735.60

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Solution

The fourth proportional to 397,038.40, 595,429.56 and 130,735.60 is: 196,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,038.40 : 595,429.56 = 130,735.60 : x
  2. Step 2: Convert to fraction form
    397,038.40/595,429.56 = 130,735.60/x
  3. Step 3: Cross multiply
    397,038.40x = 595,429.56 × 130,735.60
  4. Step 4: Simplify right side
    397,038.40x = 77,843,840,784.34
  5. Step 5: Solve for x
    x = 77,843,840,784.34/397,038.40
  6. Step 6: Final answer
    x = 196,061.24

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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.