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Finding the Fourth Proportional to 399,542.40, 599,388.48 and 133,277.76

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Solution

The fourth proportional to 399,542.40, 599,388.48 and 133,277.76 is: 199,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,542.40 : 599,388.48 = 133,277.76 : x
  2. Step 2: Convert to fraction form
    399,542.40/599,388.48 = 133,277.76/x
  3. Step 3: Cross multiply
    399,542.40x = 599,388.48 × 133,277.76
  4. Step 4: Simplify right side
    399,542.40x = 79,885,153,984.20
  5. Step 5: Solve for x
    x = 79,885,153,984.20/399,542.40
  6. Step 6: Final answer
    x = 199,941.62

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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.