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Finding the Fourth Proportional to 397,405.40, 596,108.10 and 239,552.60

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Solution

The fourth proportional to 397,405.40, 596,108.10 and 239,552.60 is: 359,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,405.40 : 596,108.10 = 239,552.60 : x
  2. Step 2: Convert to fraction form
    397,405.40/596,108.10 = 239,552.60/x
  3. Step 3: Cross multiply
    397,405.40x = 596,108.10 × 239,552.60
  4. Step 4: Simplify right side
    397,405.40x = 142,799,245,236.06
  5. Step 5: Solve for x
    x = 142,799,245,236.06/397,405.40
  6. Step 6: Final answer
    x = 359,328.90

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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.