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Finding the Fourth Proportional to 656,847.72, 906,459.94 and 384,850.52

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Solution

The fourth proportional to 656,847.72, 906,459.94 and 384,850.52 is: 531,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,847.72 : 906,459.94 = 384,850.52 : x
  2. Step 2: Convert to fraction form
    656,847.72/906,459.94 = 384,850.52/x
  3. Step 3: Cross multiply
    656,847.72x = 906,459.94 × 384,850.52
  4. Step 4: Simplify right side
    656,847.72x = 348,851,579,268.17
  5. Step 5: Solve for x
    x = 348,851,579,268.17/656,847.72
  6. Step 6: Final answer
    x = 531,099.63

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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.