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Finding the Fourth Proportional to 399,024.21, 598,530 and 185,672.79

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Solution

The fourth proportional to 399,024.21, 598,530 and 185,672.79 is: 278,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,024.21 : 598,530 = 185,672.79 : x
  2. Step 2: Convert to fraction form
    399,024.21/598,530 = 185,672.79/x
  3. Step 3: Cross multiply
    399,024.21x = 598,530 × 185,672.79
  4. Step 4: Simplify right side
    399,024.21x = 111,130,734,998.70
  5. Step 5: Solve for x
    x = 111,130,734,998.70/399,024.21
  6. Step 6: Final answer
    x = 278,506.25

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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.