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Finding the Fourth Proportional to 511,571.68, 705,985.68 and 282,139

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Solution

The fourth proportional to 511,571.68, 705,985.68 and 282,139 is: 389,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,571.68 : 705,985.68 = 282,139 : x
  2. Step 2: Convert to fraction form
    511,571.68/705,985.68 = 282,139/x
  3. Step 3: Cross multiply
    511,571.68x = 705,985.68 × 282,139
  4. Step 4: Simplify right side
    511,571.68x = 199,186,093,769.52
  5. Step 5: Solve for x
    x = 199,186,093,769.52/511,571.68
  6. Step 6: Final answer
    x = 389,361.06

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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.