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Finding the Fourth Proportional to 408,099.64, 612,334.14 and 208,316.92

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Solution

The fourth proportional to 408,099.64, 612,334.14 and 208,316.92 is: 312,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,099.64 : 612,334.14 = 208,316.92 : x
  2. Step 2: Convert to fraction form
    408,099.64/612,334.14 = 208,316.92/x
  3. Step 3: Cross multiply
    408,099.64x = 612,334.14 × 208,316.92
  4. Step 4: Simplify right side
    408,099.64x = 127,559,562,055.65
  5. Step 5: Solve for x
    x = 127,559,562,055.65/408,099.64
  6. Step 6: Final answer
    x = 312,569.65

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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.