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Finding the Fourth Proportional to 399,429.09, 599,110.83 and 118,946.34

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Solution

The fourth proportional to 399,429.09, 599,110.83 and 118,946.34 is: 178,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,429.09 : 599,110.83 = 118,946.34 : x
  2. Step 2: Convert to fraction form
    399,429.09/599,110.83 = 118,946.34/x
  3. Step 3: Cross multiply
    399,429.09x = 599,110.83 × 118,946.34
  4. Step 4: Simplify right side
    399,429.09x = 71,262,040,482.86
  5. Step 5: Solve for x
    x = 71,262,040,482.86/399,429.09
  6. Step 6: Final answer
    x = 178,409.74

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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.