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Finding the Fourth Proportional to 458,455.59, 687,832.80 and 230,633.64

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Solution

The fourth proportional to 458,455.59, 687,832.80 and 230,633.64 is: 346,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,455.59 : 687,832.80 = 230,633.64 : x
  2. Step 2: Convert to fraction form
    458,455.59/687,832.80 = 230,633.64/x
  3. Step 3: Cross multiply
    458,455.59x = 687,832.80 × 230,633.64
  4. Step 4: Simplify right side
    458,455.59x = 158,637,382,375.39
  5. Step 5: Solve for x
    x = 158,637,382,375.39/458,455.59
  6. Step 6: Final answer
    x = 346,025.63

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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.