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Finding the Fourth Proportional to 399,026.79, 598,203.09 and 185,684.60

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Solution

The fourth proportional to 399,026.79, 598,203.09 and 185,684.60 is: 278,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,026.79 : 598,203.09 = 185,684.60 : x
  2. Step 2: Convert to fraction form
    399,026.79/598,203.09 = 185,684.60/x
  3. Step 3: Cross multiply
    399,026.79x = 598,203.09 × 185,684.60
  4. Step 4: Simplify right side
    399,026.79x = 111,077,102,980.92
  5. Step 5: Solve for x
    x = 111,077,102,980.92/399,026.79
  6. Step 6: Final answer
    x = 278,370.04

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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.