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Finding the Fourth Proportional to 399,400.34, 598,750.58 and 150,257.30

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Solution

The fourth proportional to 399,400.34, 598,750.58 and 150,257.30 is: 225,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,400.34 : 598,750.58 = 150,257.30 : x
  2. Step 2: Convert to fraction form
    399,400.34/598,750.58 = 150,257.30/x
  3. Step 3: Cross multiply
    399,400.34x = 598,750.58 × 150,257.30
  4. Step 4: Simplify right side
    399,400.34x = 89,966,642,906.12
  5. Step 5: Solve for x
    x = 89,966,642,906.12/399,400.34
  6. Step 6: Final answer
    x = 225,254.30

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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.