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Finding the Fourth Proportional to 511,866, 706,343.04 and 282,426

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Solution

The fourth proportional to 511,866, 706,343.04 and 282,426 is: 389,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,866 : 706,343.04 = 282,426 : x
  2. Step 2: Convert to fraction form
    511,866/706,343.04 = 282,426/x
  3. Step 3: Cross multiply
    511,866x = 706,343.04 × 282,426
  4. Step 4: Simplify right side
    511,866x = 199,489,639,415.04
  5. Step 5: Solve for x
    x = 199,489,639,415.04/511,866
  6. Step 6: Final answer
    x = 389,730.20

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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.