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Finding the Fourth Proportional to 409,401.60, 614,102.40 and 372,003.90

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Solution

The fourth proportional to 409,401.60, 614,102.40 and 372,003.90 is: 558,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,401.60 : 614,102.40 = 372,003.90 : x
  2. Step 2: Convert to fraction form
    409,401.60/614,102.40 = 372,003.90/x
  3. Step 3: Cross multiply
    409,401.60x = 614,102.40 × 372,003.90
  4. Step 4: Simplify right side
    409,401.60x = 228,448,487,799.36
  5. Step 5: Solve for x
    x = 228,448,487,799.36/409,401.60
  6. Step 6: Final answer
    x = 558,005.85

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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.