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Finding the Fourth Proportional to 511,844.52, 706,347.89 and 282,401.79

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Solution

The fourth proportional to 511,844.52, 706,347.89 and 282,401.79 is: 389,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,844.52 : 706,347.89 = 282,401.79 : x
  2. Step 2: Convert to fraction form
    511,844.52/706,347.89 = 282,401.79/x
  3. Step 3: Cross multiply
    511,844.52x = 706,347.89 × 282,401.79
  4. Step 4: Simplify right side
    511,844.52x = 199,473,907,086.71
  5. Step 5: Solve for x
    x = 199,473,907,086.71/511,844.52
  6. Step 6: Final answer
    x = 389,715.82

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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.