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Finding the Fourth Proportional to 499,276.80, 749,606.40 and 394,214.40

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Solution

The fourth proportional to 499,276.80, 749,606.40 and 394,214.40 is: 591,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,276.80 : 749,606.40 = 394,214.40 : x
  2. Step 2: Convert to fraction form
    499,276.80/749,606.40 = 394,214.40/x
  3. Step 3: Cross multiply
    499,276.80x = 749,606.40 × 394,214.40
  4. Step 4: Simplify right side
    499,276.80x = 295,505,637,212.16
  5. Step 5: Solve for x
    x = 295,505,637,212.16/499,276.80
  6. Step 6: Final answer
    x = 591,867.35

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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.