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Finding the Fourth Proportional to 665,099.68, 917,546.02 and 406,989.03

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Solution

The fourth proportional to 665,099.68, 917,546.02 and 406,989.03 is: 561,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,099.68 : 917,546.02 = 406,989.03 : x
  2. Step 2: Convert to fraction form
    665,099.68/917,546.02 = 406,989.03/x
  3. Step 3: Cross multiply
    665,099.68x = 917,546.02 × 406,989.03
  4. Step 4: Simplify right side
    665,099.68x = 373,431,163,930.56
  5. Step 5: Solve for x
    x = 373,431,163,930.56/665,099.68
  6. Step 6: Final answer
    x = 561,466.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.