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Finding the Fourth Proportional to 407,214.96, 561,842.64 and 320,906.40

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Solution

The fourth proportional to 407,214.96, 561,842.64 and 320,906.40 is: 442,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,214.96 : 561,842.64 = 320,906.40 : x
  2. Step 2: Convert to fraction form
    407,214.96/561,842.64 = 320,906.40/x
  3. Step 3: Cross multiply
    407,214.96x = 561,842.64 × 320,906.40
  4. Step 4: Simplify right side
    407,214.96x = 180,298,898,968.90
  5. Step 5: Solve for x
    x = 180,298,898,968.90/407,214.96
  6. Step 6: Final answer
    x = 442,760.99

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1.5x scale

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.