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Finding the Fourth Proportional to 511,687.71, 706,131.81 and 282,253.05

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Solution

The fourth proportional to 511,687.71, 706,131.81 and 282,253.05 is: 389,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,687.71 : 706,131.81 = 282,253.05 : x
  2. Step 2: Convert to fraction form
    511,687.71/706,131.81 = 282,253.05/x
  3. Step 3: Cross multiply
    511,687.71x = 706,131.81 × 282,253.05
  4. Step 4: Simplify right side
    511,687.71x = 199,307,857,074.52
  5. Step 5: Solve for x
    x = 199,307,857,074.52/511,687.71
  6. Step 6: Final answer
    x = 389,510.74

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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.