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Finding the Fourth Proportional to 554,305.10, 829,381.65 and 394,749.90

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Solution

The fourth proportional to 554,305.10, 829,381.65 and 394,749.90 is: 590,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,305.10 : 829,381.65 = 394,749.90 : x
  2. Step 2: Convert to fraction form
    554,305.10/829,381.65 = 394,749.90/x
  3. Step 3: Cross multiply
    554,305.10x = 829,381.65 × 394,749.90
  4. Step 4: Simplify right side
    554,305.10x = 327,398,323,399.34
  5. Step 5: Solve for x
    x = 327,398,323,399.34/554,305.10
  6. Step 6: Final answer
    x = 590,646.42

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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.