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Finding the Fourth Proportional to 432,492.60, 648,738.90 and 407,998.20

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Solution

The fourth proportional to 432,492.60, 648,738.90 and 407,998.20 is: 611,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,492.60 : 648,738.90 = 407,998.20 : x
  2. Step 2: Convert to fraction form
    432,492.60/648,738.90 = 407,998.20/x
  3. Step 3: Cross multiply
    432,492.60x = 648,738.90 × 407,998.20
  4. Step 4: Simplify right side
    432,492.60x = 264,684,303,469.98
  5. Step 5: Solve for x
    x = 264,684,303,469.98/432,492.60
  6. Step 6: Final answer
    x = 611,997.30

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Similar ratio
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1.5x scale

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.