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Finding the Fourth Proportional to 507,218.22, 699,952.50 and 280,858.86

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Solution

The fourth proportional to 507,218.22, 699,952.50 and 280,858.86 is: 387,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,218.22 : 699,952.50 = 280,858.86 : x
  2. Step 2: Convert to fraction form
    507,218.22/699,952.50 = 280,858.86/x
  3. Step 3: Cross multiply
    507,218.22x = 699,952.50 × 280,858.86
  4. Step 4: Simplify right side
    507,218.22x = 196,587,861,204.15
  5. Step 5: Solve for x
    x = 196,587,861,204.15/507,218.22
  6. Step 6: Final answer
    x = 387,580.44

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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.