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Finding the Fourth Proportional to 409,137.48, 613,802.75 and 128,654.73

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Solution

The fourth proportional to 409,137.48, 613,802.75 and 128,654.73 is: 193,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,137.48 : 613,802.75 = 128,654.73 : x
  2. Step 2: Convert to fraction form
    409,137.48/613,802.75 = 128,654.73/x
  3. Step 3: Cross multiply
    409,137.48x = 613,802.75 × 128,654.73
  4. Step 4: Simplify right side
    409,137.48x = 78,968,626,431.23
  5. Step 5: Solve for x
    x = 78,968,626,431.23/409,137.48
  6. Step 6: Final answer
    x = 193,012.45

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1.5x scale

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.