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Finding the Fourth Proportional to 419,130.05, 628,695.27 and 138,647.30

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Solution

The fourth proportional to 419,130.05, 628,695.27 and 138,647.30 is: 207,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,130.05 : 628,695.27 = 138,647.30 : x
  2. Step 2: Convert to fraction form
    419,130.05/628,695.27 = 138,647.30/x
  3. Step 3: Cross multiply
    419,130.05x = 628,695.27 × 138,647.30
  4. Step 4: Simplify right side
    419,130.05x = 87,166,898,564.79
  5. Step 5: Solve for x
    x = 87,166,898,564.79/419,130.05
  6. Step 6: Final answer
    x = 207,971.01

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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.