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Finding the Fourth Proportional to 522,917.86, 721,612.64 and 296,558.50

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Solution

The fourth proportional to 522,917.86, 721,612.64 and 296,558.50 is: 409,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,917.86 : 721,612.64 = 296,558.50 : x
  2. Step 2: Convert to fraction form
    522,917.86/721,612.64 = 296,558.50/x
  3. Step 3: Cross multiply
    522,917.86x = 721,612.64 × 296,558.50
  4. Step 4: Simplify right side
    522,917.86x = 214,000,362,099.44
  5. Step 5: Solve for x
    x = 214,000,362,099.44/522,917.86
  6. Step 6: Final answer
    x = 409,242.79

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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.