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Finding the Fourth Proportional to 458,268.64, 687,180.74 and 268,790.90

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Solution

The fourth proportional to 458,268.64, 687,180.74 and 268,790.90 is: 403,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,268.64 : 687,180.74 = 268,790.90 : x
  2. Step 2: Convert to fraction form
    458,268.64/687,180.74 = 268,790.90/x
  3. Step 3: Cross multiply
    458,268.64x = 687,180.74 × 268,790.90
  4. Step 4: Simplify right side
    458,268.64x = 184,707,929,567.27
  5. Step 5: Solve for x
    x = 184,707,929,567.27/458,268.64
  6. Step 6: Final answer
    x = 403,056.01

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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.