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Finding the Fourth Proportional to 296,494.40, 445,616.40 and 258,003.20

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Solution

The fourth proportional to 296,494.40, 445,616.40 and 258,003.20 is: 387,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,494.40 : 445,616.40 = 258,003.20 : x
  2. Step 2: Convert to fraction form
    296,494.40/445,616.40 = 258,003.20/x
  3. Step 3: Cross multiply
    296,494.40x = 445,616.40 × 258,003.20
  4. Step 4: Simplify right side
    296,494.40x = 114,970,457,172.48
  5. Step 5: Solve for x
    x = 114,970,457,172.48/296,494.40
  6. Step 6: Final answer
    x = 387,766.03

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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.