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Finding the Fourth Proportional to 511,842.68, 706,337.98 and 282,401.82

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Solution

The fourth proportional to 511,842.68, 706,337.98 and 282,401.82 is: 389,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,842.68 : 706,337.98 = 282,401.82 : x
  2. Step 2: Convert to fraction form
    511,842.68/706,337.98 = 282,401.82/x
  3. Step 3: Cross multiply
    511,842.68x = 706,337.98 × 282,401.82
  4. Step 4: Simplify right side
    511,842.68x = 199,471,131,087.12
  5. Step 5: Solve for x
    x = 199,471,131,087.12/511,842.68
  6. Step 6: Final answer
    x = 389,711.80

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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.