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Finding the Fourth Proportional to 511,568.48, 705,938.52 and 282,165.68

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Solution

The fourth proportional to 511,568.48, 705,938.52 and 282,165.68 is: 389,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,568.48 : 705,938.52 = 282,165.68 : x
  2. Step 2: Convert to fraction form
    511,568.48/705,938.52 = 282,165.68/x
  3. Step 3: Cross multiply
    511,568.48x = 705,938.52 × 282,165.68
  4. Step 4: Simplify right side
    511,568.48x = 199,191,622,533.99
  5. Step 5: Solve for x
    x = 199,191,622,533.99/511,568.48
  6. Step 6: Final answer
    x = 389,374.31

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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.