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Finding the Fourth Proportional to 399,280.28, 599,006.54 and 114,968.92

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Solution

The fourth proportional to 399,280.28, 599,006.54 and 114,968.92 is: 172,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,280.28 : 599,006.54 = 114,968.92 : x
  2. Step 2: Convert to fraction form
    399,280.28/599,006.54 = 114,968.92/x
  3. Step 3: Cross multiply
    399,280.28x = 599,006.54 × 114,968.92
  4. Step 4: Simplify right side
    399,280.28x = 68,867,131,406.86
  5. Step 5: Solve for x
    x = 68,867,131,406.86/399,280.28
  6. Step 6: Final answer
    x = 172,478.17

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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.